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101021210104122 = 232711214811339307
BaseRepresentation
bin10110111110000011010101…
…010101111101000100111010
3111020200112101211021212210200
4112332003111111331010322
5101220112414241312442
6554504300411223030
730164353521615450
oct2676032525750472
9436615354255720
10101021210104122
112a208944539240
12b3b6706a47a76
13444a34a70a949
141ad364a1409d0
15ba2bd813634c
hex5be0d557d13a

101021210104122 has 96 divisors (see below), whose sum is σ = 272890538279424. Its totient is φ = 26239075869600.

The previous prime is 101021210104121. The next prime is 101021210104151. The reversal of 101021210104122 is 221401012120101.

101021210104122 is a `hidden beast` number, since 1 + 0 + 10 + 21 + 210 + 10 + 412 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101021210104095 and 101021210104104.

It is not an unprimeable number, because it can be changed into a prime (101021210104121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297558393 + ... + 297897699.

It is an arithmetic number, because the mean of its divisors is an integer number (2842609773744).

Almost surely, 2101021210104122 is an apocalyptic number.

101021210104122 is an abundant number, since it is smaller than the sum of its proper divisors (171869328175302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101021210104122 is a wasteful number, since it uses less digits than its factorization.

101021210104122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554144 (or 554141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101021210104122 its reverse (221401012120101), we get a palindrome (322422222224223).

The spelling of 101021210104122 in words is "one hundred one trillion, twenty-one billion, two hundred ten million, one hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 214811 339307 429622 644433 678614 1017921 1288866 1503677 1933299 2035842 2362921 2375149 3007354 3053763 3732377 3866598 4511031 4725842 4750298 6107526 7088763 7125447 7464754 9022062 11197131 13533093 14177526 14250894 16540447 21266289 21376341 22394262 26126639 27066186 33080894 33591393 42532578 42752682 49621341 52253278 67182786 78379917 99242682 148864023 156759834 235139751 297728046 470279502 72886875977 145773751954 218660627931 437321255862 510208131839 655981883793 801755635747 1020416263678 1311963767586 1530624395517 1603511271494 2405266907241 3061248791034 4591873186551 4810533814482 5612289450229 7215800721723 9183746373102 11224578900458 14431601443446 16836868350687 33673736701374 50510605052061 101021210104122