100212101011120 has 40 divisors (see below), whose sum is σ = 266277868402464. Its totient is φ = 34358434632192.

The previous prime is 100212101011067. The next prime is 100212101011147. The reversal of 100212101011120 is 21110101212001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 100212101011120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89475089629 + ... + 89475090748.

Almost surely, 2^{100212101011120} is an apocalyptic number.

100212101011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212101011120 is an abundant number, since it is smaller than the sum of its proper divisors (166065767391344).

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

100212101011120 is a wasteful number, since it uses less digits than its factorization.

100212101011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178950180397 (or 178950180391 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100212101011120 its reverse (21110101212001), we get a palindrome (121322202223121).

The spelling of 100212101011120 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, eleven thousand, one hundred twenty".