101406734255136 has 288 divisors, whose sum is σ = 301241230536960. Its totient is φ = 29776323907584.

The previous prime is 101406734255089. The next prime is 101406734255147. The reversal of 101406734255136 is 631552437604101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42593415 + ... + 44911161.

It is an arithmetic number, because the mean of its divisors is an integer number (1045976494920).

Almost surely, 2^{101406734255136} is an apocalyptic number.

101406734255136 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 101406734255136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150620615268480).

101406734255136 is an abundant number, since it is smaller than the sum of its proper divisors (199834496281824).

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

101406734255136 is a wasteful number, since it uses less digits than its factorization.

101406734255136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317896 (or 2317871 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 101406734255136 in words is "one hundred one trillion, four hundred six billion, seven hundred thirty-four million, two hundred fifty-five thousand, one hundred thirty-six".