102111102100210 has 128 divisors (see below), whose sum is σ = 225834027540480. Its totient is φ = 32458829255424.

The previous prime is 102111102100187. The next prime is 102111102100279. The reversal of 102111102100210 is 12001201111201.

It is a happy number.

It is a super-2 number, since 2×102111102100210² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966789364 + ... + 966894976.

It is an arithmetic number, because the mean of its divisors is an integer number (1764328340160).

Almost surely, 2^{102111102100210} is an apocalyptic number.

102111102100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102111102100210 is an abundant number, since it is smaller than the sum of its proper divisors (123722925440270).

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

102111102100210 is a wasteful number, since it uses less digits than its factorization.

102111102100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121160.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102111102100210 its reverse (12001201111201), we get a palindrome (114112303211411).

The spelling of 102111102100210 in words is "one hundred two trillion, one hundred eleven billion, one hundred two million, one hundred thousand, two hundred ten".