101412402210040 has 128 divisors (see below), whose sum is σ = 259726910054400. Its totient is φ = 35399815464960.

The previous prime is 101412402209971. The next prime is 101412402210071. The reversal of 101412402210040 is 40012204214101.

It is a junction number, because it is equal to n+sod(n) for n = 101412402209993 and 101412402210020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82895496 + ... + 84109975.

It is an arithmetic number, because the mean of its divisors is an integer number (2029116484800).

Almost surely, 2^{101412402210040} is an apocalyptic number.

101412402210040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101412402210040 is an abundant number, since it is smaller than the sum of its proper divisors (158314507844360).

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

101412402210040 is a wasteful number, since it uses less digits than its factorization.

101412402210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167005565 (or 167005561 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 101412402210040 its reverse (40012204214101), we get a palindrome (141424606424141).

The spelling of 101412402210040 in words is "one hundred one trillion, four hundred twelve billion, four hundred two million, two hundred ten thousand, forty".