10000001010072 has 32 divisors (see below), whose sum is σ = 25001398612080. Its totient is φ = 3333147525120.

The previous prime is 10000001010071. The next prime is 10000001010107. The reversal of 10000001010072 is 27001010000001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000001010071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11194993 + ... + 12055200.

Almost surely, 2^{10000001010072} is an apocalyptic number.

10000001010072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000001010072 is an abundant number, since it is smaller than the sum of its proper divisors (15001397602008).

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

10000001010072 is a wasteful number, since it uses less digits than its factorization.

10000001010072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23268123 (or 23268119 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

Adding to 10000001010072 its reverse (27001010000001), we get a palindrome (37001011010073).

The spelling of 10000001010072 in words is "ten trillion, one million, ten thousand, seventy-two".