102100041649320 has 768 divisors, whose sum is σ = 371879803468800. Its totient is φ = 22217439928320.

The previous prime is 102100041649259. The next prime is 102100041649337. The reversal of 102100041649320 is 23946140001201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2177460436 + ... + 2177507324.

It is an arithmetic number, because the mean of its divisors is an integer number (484218494100).

Almost surely, 2^{102100041649320} is an apocalyptic number.

102100041649320 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 102100041649320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185939901734400).

102100041649320 is an abundant number, since it is smaller than the sum of its proper divisors (269779761819480).

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

102100041649320 is a wasteful number, since it uses less digits than its factorization.

102100041649320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47210 (or 47193 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 102100041649320 in words is "one hundred two trillion, one hundred billion, forty-one million, six hundred forty-nine thousand, three hundred twenty".