101015521088400 has 360 divisors, whose sum is σ = 362043685935360. Its totient is φ = 26055292032000.

The previous prime is 101015521088353. The next prime is 101015521088429. The reversal of 101015521088400 is 4880125510101.

101015521088400 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 15 + 521 + 0 + 88 + 40 + 0 = 666.

101015521088400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×101015521088400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220627710 + ... + 221085090.

It is an arithmetic number, because the mean of its divisors is an integer number (1005676905376).

Almost surely, 2^{101015521088400} is an apocalyptic number.

101015521088400 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 101015521088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181021842967680).

101015521088400 is an abundant number, since it is smaller than the sum of its proper divisors (261028164846960).

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

101015521088400 is a wasteful number, since it uses less digits than its factorization.

101015521088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459415 (or 459401 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

Adding to 101015521088400 its reverse (4880125510101), we get a palindrome (105895646598501).

The spelling of 101015521088400 in words is "one hundred one trillion, fifteen billion, five hundred twenty-one million, eighty-eight thousand, four hundred".