100101022120212 has 96 divisors (see below), whose sum is σ = 255550657444992. Its totient is φ = 30368021630976.

The previous prime is 100101022120171. The next prime is 100101022120237. The reversal of 100101022120212 is 212021220101001.

It is a super-2 number, since 2×100101022120212² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100101022120191 and 100101022120200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39450433 + ... + 41911080.

It is an arithmetic number, because the mean of its divisors is an integer number (2661986015052).

Almost surely, 2^{100101022120212} is an apocalyptic number.

100101022120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101022120212 is an abundant number, since it is smaller than the sum of its proper divisors (155449635324780).

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

100101022120212 is a wasteful number, since it uses less digits than its factorization.

100101022120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81361737 (or 81361735 counting only the distinct ones).

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

Adding to 100101022120212 its reverse (212021220101001), we get a palindrome (312122242221213).

The spelling of 100101022120212 in words is "one hundred trillion, one hundred one billion, twenty-two million, one hundred twenty thousand, two hundred twelve".