102012221102000 has 160 divisors (see below), whose sum is σ = 272495894860800. Its totient is φ = 36625791072000.

The previous prime is 102012221101907. The next prime is 102012221102059. The reversal of 102012221102000 is 201122210201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27609590 + ... + 31085589.

It is an arithmetic number, because the mean of its divisors is an integer number (1703099342880).

Almost surely, 2^{102012221102000} is an apocalyptic number.

102012221102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012221102000 is an abundant number, since it is smaller than the sum of its proper divisors (170483673758800).

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

102012221102000 is a wasteful number, since it uses less digits than its factorization.

102012221102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58695292 (or 58695276 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102012221102000 its reverse (201122210201), we get a palindrome (102213343312201).

It can be divided in two parts, 1020122 and 21102000, that added together give a palindrome (22122122).

The spelling of 102012221102000 in words is "one hundred two trillion, twelve billion, two hundred twenty-one million, one hundred two thousand".