100102958862720 has 1024 divisors, whose sum is σ = 362286452736000. Its totient is φ = 23288077352960.

The previous prime is 100102958862659. The next prime is 100102958862737. The reversal of 100102958862720 is 27268859201001.

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 127 ways as a sum of consecutive naturals, for example, 91251557212 + ... + 91251558308.

It is an arithmetic number, because the mean of its divisors is an integer number (353795364000).

Almost surely, 2^{100102958862720} is an apocalyptic number.

100102958862720 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 100102958862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181143226368000).

100102958862720 is an abundant number, since it is smaller than the sum of its proper divisors (262183493873280).

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

100102958862720 is a wasteful number, since it uses less digits than its factorization.

100102958862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 100102958862720 in words is "one hundred trillion, one hundred two billion, nine hundred fifty-eight million, eight hundred sixty-two thousand, seven hundred twenty".