101390955789200 has 2880 divisors, whose sum is σ = 345363155343360. Its totient is φ = 27718225920000.

The previous prime is 101390955789139. The next prime is 101390955789247. The reversal of 101390955789200 is 2987559093101.

It is a self number, because there is not a number n which added to its sum of digits gives 101390955789200.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1513297847567 + ... + 1513297847633.

It is an arithmetic number, because the mean of its divisors is an integer number (119917762272).

Almost surely, 2^{101390955789200} is an apocalyptic number.

101390955789200 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 101390955789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172681577671680).

101390955789200 is an abundant number, since it is smaller than the sum of its proper divisors (243972199554160).

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

101390955789200 is a wasteful number, since it uses less digits than its factorization.

101390955789200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 59.

The spelling of 101390955789200 in words is "one hundred one trillion, three hundred ninety billion, nine hundred fifty-five million, seven hundred eighty-nine thousand, two hundred".