210101102210120 has 384 divisors, whose sum is σ = 529667558784000. Its totient is φ = 74364129354240.

The previous prime is 210101102210113. The next prime is 210101102210159. The reversal of 210101102210120 is 21012201101012.

210101102210120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210101102210120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210101102210095 and 210101102210104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288997389197 + ... + 288997389923.

It is an arithmetic number, because the mean of its divisors is an integer number (1379342601000).

Almost surely, 2^{210101102210120} is an apocalyptic number.

210101102210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210101102210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264833779392000).

210101102210120 is an abundant number, since it is smaller than the sum of its proper divisors (319566456573880).

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

210101102210120 is a wasteful number, since it uses less digits than its factorization.

210101102210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1386 counting only the distinct ones).

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

Adding to 210101102210120 its reverse (21012201101012), we get a palindrome (231113303311132).

The spelling of 210101102210120 in words is "two hundred ten trillion, one hundred one billion, one hundred two million, two hundred ten thousand, one hundred twenty".