101004400022040 has 128 divisors (see below), whose sum is σ = 336720848256000. Its totient is φ = 26931345485184.

The previous prime is 101004400021997. The next prime is 101004400022153. The reversal of 101004400022040 is 40220004400101.

101004400022040 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 4 + 400 + 0 + 220 + 40 = 666.

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

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, 3725251 + ... + 14693069.

It is an arithmetic number, because the mean of its divisors is an integer number (2630631627000).

Almost surely, 2^{101004400022040} is an apocalyptic number.

101004400022040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101004400022040 is an abundant number, since it is smaller than the sum of its proper divisors (235716448233960).

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

101004400022040 is a wasteful number, since it uses less digits than its factorization.

101004400022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10976366 (or 10976356 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 101004400022040 its reverse (40220004400101), we get a palindrome (141224404422141).

The spelling of 101004400022040 in words is "one hundred one trillion, four billion, four hundred million, twenty-two thousand, forty".