101009474239100 has 144 divisors (see below), whose sum is σ = 250791249666048. Its totient is φ = 34592053224960.

The previous prime is 101009474239099. The next prime is 101009474239103. The reversal of 101009474239100 is 1932474900101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101009474239103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4035040184 + ... + 4035065216.

Almost surely, 2^{101009474239100} is an apocalyptic number.

101009474239100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101009474239100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125395624833024).

101009474239100 is an abundant number, since it is smaller than the sum of its proper divisors (149781775426948).

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

101009474239100 is a wasteful number, since it uses less digits than its factorization.

101009474239100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31444 (or 31437 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 101009474239100 in words is "one hundred one trillion, nine billion, four hundred seventy-four million, two hundred thirty-nine thousand, one hundred".