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101020211020212 = 223116836991119359
BaseRepresentation
bin10110111110000010011001…
…110010110000000110110100
3111020200102211012100011022220
4112332002121302300012310
5101220103343010121322
6554504013321322340
730164320000551411
oct2676023162600664
9436612735304286
10101020211020212
112a208481590760
12b3b64883363b0
13444a21b731733
141ad3593591108
15ba2b7a58655c
hex5be099cb01b4

101020211020212 has 48 divisors (see below), whose sum is σ = 257142961152000. Its totient is φ = 30612113035360.

The previous prime is 101020211020181. The next prime is 101020211020231. The reversal of 101020211020212 is 212020112020101.

It is a junction number, because it is equal to n+sod(n) for n = 101020211020191 and 101020211020200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89688589 + ... + 90807947.

It is an arithmetic number, because the mean of its divisors is an integer number (5357145024000).

Almost surely, 2101020211020212 is an apocalyptic number.

101020211020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020211020212 is an abundant number, since it is smaller than the sum of its proper divisors (156122750131788).

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

101020211020212 is a wasteful number, since it uses less digits than its factorization.

101020211020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803076 (or 1803074 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101020211020212 its reverse (212020112020101), we get a palindrome (313040323040313).

The spelling of 101020211020212 in words is "one hundred one trillion, twenty billion, two hundred eleven million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 683699 1119359 1367398 2051097 2238718 2734796 3358077 4102194 4477436 6716154 7520689 8204388 12312949 13432308 15041378 22562067 24625898 30082756 36938847 45124134 49251796 73877694 90248268 147755388 765304628941 1530609257882 2295913886823 3061218515764 4591827773646 8418350918351 9183655547292 16836701836702 25255052755053 33673403673404 50510105510106 101020211020212