101210100212120 has 64 divisors (see below), whose sum is σ = 229981288379040. Its totient is φ = 40082531328000.

The previous prime is 101210100212093. The next prime is 101210100212129. The reversal of 101210100212120 is 21212001012101.

It is a junction number, because it is equal to n+sod(n) for n = 101210100212095 and 101210100212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210100212129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287605475 + ... + 287957165.

Almost surely, 2^{101210100212120} is an apocalyptic number.

101210100212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210100212120 is an abundant number, since it is smaller than the sum of its proper divisors (128771188166920).

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

101210100212120 is a wasteful number, since it uses less digits than its factorization.

101210100212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423036 (or 423032 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101210100212120 its reverse (21212001012101), we get a palindrome (122422101224221).

The spelling of 101210100212120 in words is "one hundred one trillion, two hundred ten billion, one hundred million, two hundred twelve thousand, one hundred twenty".