101025234526146 has 16 divisors (see below), whose sum is σ = 230914821774144. Its totient is φ = 28864352721744.

The previous prime is 101025234526133. The next prime is 101025234526157. The reversal of 101025234526146 is 641625432520101.

It is a super-2 number, since 2×101025234526146² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 2405362726813 = 101025234526146 / (1 + 0 + 1 + 0 + 2 + 5 + 2 + 3 + 4 + 5 + 2 + 6 + 1 + 4 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 101025234526098 and 101025234526107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202681363365 + ... + 1202681363448.

It is an arithmetic number, because the mean of its divisors is an integer number (14432176360884).

Almost surely, 2^{101025234526146} is an apocalyptic number.

101025234526146 is an abundant number, since it is smaller than the sum of its proper divisors (129889587247998).

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

101025234526146 is a wasteful number, since it uses less digits than its factorization.

101025234526146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405362726825.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 101025234526146 in words is "one hundred one trillion, twenty-five billion, two hundred thirty-four million, five hundred twenty-six thousand, one hundred forty-six".