102012221101000 has 128 divisors (see below), whose sum is σ = 272823268124160. Its totient is φ = 34973895264000.

The previous prime is 102012221100997. The next prime is 102012221101027. The reversal of 102012221101000 is 101122210201.

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 31 ways as a sum of consecutive naturals, for example, 145972410 + ... + 146669590.

It is an arithmetic number, because the mean of its divisors is an integer number (2131431782220).

Almost surely, 2^{102012221101000} is an apocalyptic number.

102012221101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012221101000 is an abundant number, since it is smaller than the sum of its proper divisors (170811047023160).

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

102012221101000 is a wasteful number, since it uses less digits than its factorization.

102012221101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718112 (or 718098 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102012221101000 its reverse (101122210201), we get a palindrome (102113343311201).

The spelling of 102012221101000 in words is "one hundred two trillion, twelve billion, two hundred twenty-one million, one hundred one thousand".