210101310120 has 256 divisors, whose sum is σ = 684449740800. Its totient is φ = 51287592960.

The previous prime is 210101310109. The next prime is 210101310131. The reversal of 210101310120 is 21013101012.

It is an interprime number because it is at equal distance from previous prime (210101310109) and next prime (210101310131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210101310096 and 210101310105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146004361 + ... + 146005799.

It is an arithmetic number, because the mean of its divisors is an integer number (2673631800).

Almost surely, 2^210101310120 is an apocalyptic number.

210101310120 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 210101310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342224870400).

210101310120 is an abundant number, since it is smaller than the sum of its proper divisors (474348430680).

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

210101310120 is a wasteful number, since it uses less digits than its factorization.

210101310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 210101310120 its reverse (21013101012), we get a palindrome (231114411132).

The spelling of 210101310120 in words is "two hundred ten billion, one hundred one million, three hundred ten thousand, one hundred twenty".