101522413787904 has 180 divisors, whose sum is σ = 303225201821080. Its totient is φ = 33784492953600.

The previous prime is 101522413787903. The next prime is 101522413787911. The reversal of 101522413787904 is 409787314225101.

It is a happy number.

101522413787904 is a `hidden beast` number, since 1 + 0 + 1 + 522 + 4 + 1 + 37 + 87 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (101522413787903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8389167 + ... + 16535505.

Almost surely, 2^{101522413787904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101522413787904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151612600910540).

101522413787904 is an abundant number, since it is smaller than the sum of its proper divisors (201702788033176).

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

101522413787904 is an frugal number, since it uses more digits than its factorization.

101522413787904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8146968 (or 8146945 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 101522413787904 in words is "one hundred one trillion, five hundred twenty-two billion, four hundred thirteen million, seven hundred eighty-seven thousand, nine hundred four".