102210000012120 has 1536 divisors, whose sum is σ = 426033416448000. Its totient is φ = 19035210055680.

The previous prime is 102210000012097. The next prime is 102210000012173. The reversal of 102210000012120 is 21210000012201.

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 = 102210000012096 and 102210000012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32875521126 + ... + 32875524234.

It is an arithmetic number, because the mean of its divisors is an integer number (277365505500).

Almost surely, 2^{102210000012120} is an apocalyptic number.

102210000012120 is a gapful number since it is divisible by the number (10) 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 102210000012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213016708224000).

102210000012120 is an abundant number, since it is smaller than the sum of its proper divisors (323823416435880).

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

102210000012120 is a wasteful number, since it uses less digits than its factorization.

102210000012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102210000012120 its reverse (21210000012201), we get a palindrome (123420000024321).

The spelling of 102210000012120 in words is "one hundred two trillion, two hundred ten billion, twelve thousand, one hundred twenty".