101405150442540 has 144 divisors (see below), whose sum is σ = 352033680048960. Its totient is φ = 23145628331520.

The previous prime is 101405150442529. The next prime is 101405150442551. The reversal of 101405150442540 is 45244051504101.

101405150442540 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 5 + 150 + 4 + 425 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (101405150442529) and next prime (101405150442551).

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

It is a junction number, because it is equal to n+sod(n) for n = 101405150442495 and 101405150442504.

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, 55862851 + ... + 57649530.

Almost surely, 2^{101405150442540} is an apocalyptic number.

101405150442540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101405150442540 is an abundant number, since it is smaller than the sum of its proper divisors (250628529606420).

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

101405150442540 is a wasteful number, since it uses less digits than its factorization.

101405150442540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113513112 (or 113513107 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 101405150442540 in words is "one hundred one trillion, four hundred five billion, one hundred fifty million, four hundred forty-two thousand, five hundred forty".