102044402013100 has 36 divisors (see below), whose sum is σ = 221687699157288. Its totient is φ = 40771429600000.

The previous prime is 102044402013077. The next prime is 102044402013101. The reversal of 102044402013100 is 1310204440201.

It is a happy number.

It is a super-2 number, since 2×102044402013100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102044402013101) 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 11 ways as a sum of consecutive naturals, for example, 579051526 + ... + 579227725.

It is an arithmetic number, because the mean of its divisors is an integer number (6157991643258).

Almost surely, 2^{102044402013100} is an apocalyptic number.

102044402013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102044402013100 is an abundant number, since it is smaller than the sum of its proper divisors (119643297144188).

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

102044402013100 is a wasteful number, since it uses less digits than its factorization.

102044402013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158280146 (or 1158280139 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102044402013100 its reverse (1310204440201), we get a palindrome (103354606453301).

The spelling of 102044402013100 in words is "one hundred two trillion, forty-four billion, four hundred two million, thirteen thousand, one hundred".