101420089056 has 1152 divisors, whose sum is σ = 381471068160. Its totient is φ = 25082265600.

The previous prime is 101420089049. The next prime is 101420089117. The reversal of 101420089056 is 650980024101.

101420089056 is a `hidden beast` number, since 101 + 420 + 0 + 89 + 0 + 56 = 666.

It is a super-2 number, since 2×101420089056² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101420089056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 897522856 + ... + 897522968.

It is an arithmetic number, because the mean of its divisors is an integer number (331138080).

Almost surely, 2^101420089056 is an apocalyptic number.

101420089056 is a gapful number since it is divisible by the number (16) 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 101420089056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190735534080).

101420089056 is an abundant number, since it is smaller than the sum of its proper divisors (280050979104).

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

101420089056 is a wasteful number, since it uses less digits than its factorization.

101420089056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

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

The spelling of 101420089056 in words is "one hundred one billion, four hundred twenty million, eighty-nine thousand, fifty-six".