102213118656000 has 3840 divisors, whose sum is σ = 444538119168000. Its totient is φ = 22295347200000.

The previous prime is 102213118655903. The next prime is 102213118656013. The reversal of 102213118656000 is 656811312201.

102213118656000 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 3 + 11 + 86 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 227646143776 + ... + 227646144224.

It is an arithmetic number, because the mean of its divisors is an integer number (115765135200).

Almost surely, 2^{102213118656000} is an apocalyptic number.

102213118656000 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 102213118656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222269059584000).

102213118656000 is an abundant number, since it is smaller than the sum of its proper divisors (342325000512000).

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

102213118656000 is a wasteful number, since it uses less digits than its factorization.

102213118656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 102213118656000 its reverse (656811312201), we get a palindrome (102869929968201).

The spelling of 102213118656000 in words is "one hundred two trillion, two hundred thirteen billion, one hundred eighteen million, six hundred fifty-six thousand".