102621138006200 has 96 divisors (see below), whose sum is σ = 260818990623360. Its totient is φ = 37240151241600.

The previous prime is 102621138006131. The next prime is 102621138006203. The reversal of 102621138006200 is 2600831126201.

It is a super-2 number, since 2×102621138006200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102621138006203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46819742 + ... + 48962541.

It is an arithmetic number, because the mean of its divisors is an integer number (2716864485660).

Almost surely, 2^{102621138006200} is an apocalyptic number.

102621138006200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102621138006200 is an abundant number, since it is smaller than the sum of its proper divisors (158197852617160).

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

102621138006200 is a wasteful number, since it uses less digits than its factorization.

102621138006200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95782797 (or 95782788 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 102621138006200 in words is "one hundred two trillion, six hundred twenty-one billion, one hundred thirty-eight million, six thousand, two hundred".