102111211121010 has 256 divisors, whose sum is σ = 309807043273728. Its totient is φ = 20959741440000.

The previous prime is 102111211120967. The next prime is 102111211121039. The reversal of 102111211121010 is 10121112111201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1000048960 + ... + 1000151060.

It is an arithmetic number, because the mean of its divisors is an integer number (1210183762788).

Almost surely, 2^{102111211121010} is an apocalyptic number.

102111211121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111211121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154903521636864).

102111211121010 is an abundant number, since it is smaller than the sum of its proper divisors (207695832152718).

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

102111211121010 is a wasteful number, since it uses less digits than its factorization.

102111211121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112069.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102111211121010 its reverse (10121112111201), we get a palindrome (112232323232211).

The spelling of 102111211121010 in words is "one hundred two trillion, one hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand, ten".