102111010101000 has 256 divisors, whose sum is σ = 361516431744000. Its totient is φ = 26650249113600.

The previous prime is 102111010100977. The next prime is 102111010101029. The reversal of 102111010101000 is 101010111201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38963865 + ... + 41501864.

It is an arithmetic number, because the mean of its divisors is an integer number (1412173561500).

Almost surely, 2^{102111010101000} is an apocalyptic number.

102111010101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111010101000 is an abundant number, since it is smaller than the sum of its proper divisors (259405421643000).

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

102111010101000 is a wasteful number, since it uses less digits than its factorization.

102111010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80465806 (or 80465786 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 102111010101000 its reverse (101010111201), we get a palindrome (102212020212201).

The spelling of 102111010101000 in words is "one hundred two trillion, one hundred eleven billion, ten million, one hundred one thousand".