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101211221110122 = 23225432270997367
BaseRepresentation
bin10111000000110100010010…
…111000011010110101101010
3111021100200212000112002120100
4113000310102320122311222
5101231221040101010442
6555131443150410230
730214161260540124
oct2700642270326552
9437320760462510
10101211221110122
112a28148a8223a2
12b4274b5200976
13446223c3c4086
141adc913726214
15ba7b0967384c
hex5c0d12e1ad6a

101211221110122 has 48 divisors (see below), whose sum is σ = 219389125812480. Its totient is φ = 33721975676256.

The previous prime is 101211221110057. The next prime is 101211221110147. The reversal of 101211221110122 is 221011122112101.

It is a happy number.

101211221110122 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 221 + 110 + 122 = 666.

It is a super-2 number, since 2×1012112211101222 (a number of 29 digits) contains 22 as substring.

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 = 101211221110095 and 101211221110104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039433083 + ... + 1039530449.

It is an arithmetic number, because the mean of its divisors is an integer number (4570606787760).

Almost surely, 2101211221110122 is an apocalyptic number.

101211221110122 is an abundant number, since it is smaller than the sum of its proper divisors (118177904702358).

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

101211221110122 is a wasteful number, since it uses less digits than its factorization.

101211221110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122627 (or 122624 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101211221110122 its reverse (221011122112101), we get a palindrome (322222343222223).

The spelling of 101211221110122 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 2543 5086 7629 15258 22709 22887 45418 45774 68127 97367 136254 194734 204381 292101 408762 584202 876303 1752606 57748987 115497974 173246961 247604281 346493922 495208562 519740883 742812843 1039481766 1485625686 2211107203 2228438529 4422214406 4456877058 6633321609 13266643218 19899964827 39799929654 5622845617229 11245691234458 16868536851687 33737073703374 50605610555061 101211221110122