102011211002120 has 64 divisors (see below), whose sum is σ = 264911716339200. Its totient is φ = 34628982508800.

The previous prime is 102011211002069. The next prime is 102011211002131. The reversal of 102011211002120 is 21200112110201.

It is a super-3 number, since 3×102011211002120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102011211002095 and 102011211002104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1803564560 + ... + 1803621119.

It is an arithmetic number, because the mean of its divisors is an integer number (4139245567800).

Almost surely, 2^{102011211002120} is an apocalyptic number.

102011211002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011211002120 is an abundant number, since it is smaller than the sum of its proper divisors (162900505337080).

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

102011211002120 is a wasteful number, since it uses less digits than its factorization.

102011211002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607185798 (or 3607185794 counting only the distinct ones).

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

Adding to 102011211002120 its reverse (21200112110201), we get a palindrome (123211323112321).

The spelling of 102011211002120 in words is "one hundred two trillion, eleven billion, two hundred eleven million, two thousand, one hundred twenty".