10102877656920 has 256 divisors, whose sum is σ = 34221336192000. Its totient is φ = 2650594434048.

The previous prime is 10102877656891. The next prime is 10102877656931. The reversal of 10102877656920 is 2965677820101.

10102877656920 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 8 + 7 + 76 + 569 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58452949 + ... + 58625531.

It is an arithmetic number, because the mean of its divisors is an integer number (133677094500).

Almost surely, 2^{10102877656920} is an apocalyptic number.

10102877656920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102877656920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17110668096000).

10102877656920 is an abundant number, since it is smaller than the sum of its proper divisors (24118458535080).

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

10102877656920 is a wasteful number, since it uses less digits than its factorization.

10102877656920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173479 (or 173469 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10102877656920 in words is "ten trillion, one hundred two billion, eight hundred seventy-seven million, six hundred fifty-six thousand, nine hundred twenty".