215154014552100 has 216 divisors, whose sum is σ = 726492052907712. Its totient is φ = 52944382022400.

The previous prime is 215154014552063. The next prime is 215154014552179. The reversal of 215154014552100 is 1255410451512.

215154014552100 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 540 + 1 + 4 + 5 + 5 + 2 + 100 = 666.

It is a super-2 number, since 2×215154014552100² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34453279 + ... + 40216121.

It is an arithmetic number, because the mean of its divisors is an integer number (3363389133832).

Almost surely, 2^{215154014552100} is an apocalyptic number.

215154014552100 is a gapful number since it is divisible by the number (20) 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 215154014552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363246026453856).

215154014552100 is an abundant number, since it is smaller than the sum of its proper divisors (511338038355612).

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

215154014552100 is a wasteful number, since it uses less digits than its factorization.

215154014552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766067 (or 5766057 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 215154014552100 in words is "two hundred fifteen trillion, one hundred fifty-four billion, fourteen million, five hundred fifty-two thousand, one hundred".