101303014040100 has 54 divisors (see below), whose sum is σ = 317528669566290. Its totient is φ = 27014137077120.

The previous prime is 101303014040093. The next prime is 101303014040141. The reversal of 101303014040100 is 1040410303101.

101303014040100 is a `hidden beast` number, since 1 + 0 + 130 + 30 + 1 + 404 + 0 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14232616392996 + 87070397647104 = 3772614^2 + 9331152^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56279451345 + ... + 56279453144.

Almost surely, 2^{101303014040100} is an apocalyptic number.

101303014040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101303014040100 is an abundant number, since it is smaller than the sum of its proper divisors (216225655526190).

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

101303014040100 is a wasteful number, since it uses less digits than its factorization.

101303014040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112558904509 (or 112558904499 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101303014040100 its reverse (1040410303101), we get a palindrome (102343424343201).

The spelling of 101303014040100 in words is "one hundred one trillion, three hundred three billion, fourteen million, forty thousand, one hundred".