101029909117280 has 576 divisors, whose sum is σ = 283640989911552. Its totient is φ = 33709495173120.

The previous prime is 101029909117279. The next prime is 101029909117297. The reversal of 101029909117280 is 82711909920101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68125359419 + ... + 68125360901.

It is an arithmetic number, because the mean of its divisors is an integer number (492432274152).

Almost surely, 2^{101029909117280} is an apocalyptic number.

101029909117280 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 101029909117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141820494955776).

101029909117280 is an abundant number, since it is smaller than the sum of its proper divisors (182611080794272).

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

101029909117280 is a wasteful number, since it uses less digits than its factorization.

101029909117280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 50.

The spelling of 101029909117280 in words is "one hundred one trillion, twenty-nine billion, nine hundred nine million, one hundred seventeen thousand, two hundred eighty".