102901260782100 has 576 divisors, whose sum is σ = 339014493683712. Its totient is φ = 23872869888000.

The previous prime is 102901260782081. The next prime is 102901260782267. The reversal of 102901260782100 is 1287062109201.

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 191 ways as a sum of consecutive naturals, for example, 3685957342 + ... + 3685985258.

It is an arithmetic number, because the mean of its divisors is an integer number (588566829312).

Almost surely, 2^{102901260782100} is an apocalyptic number.

102901260782100 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 102901260782100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169507246841856).

102901260782100 is an abundant number, since it is smaller than the sum of its proper divisors (236113232901612).

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

102901260782100 is a wasteful number, since it uses less digits than its factorization.

102901260782100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28376 (or 28369 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 102901260782100 in words is "one hundred two trillion, nine hundred one billion, two hundred sixty million, seven hundred eighty-two thousand, one hundred".