72100010112002 has 16 divisors (see below), whose sum is σ = 111073268175480. Its totient is φ = 35075592292608.

The previous prime is 72100010111951. The next prime is 72100010112007. The reversal of 72100010112002 is 20021101000127.

It can be written as a sum of positive squares in 4 ways, for example, as 69859992016441 + 2240018095561 = 8358229^2 + 1496669^2 .

It is a super-2 number, since 2×72100010112002² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72100010112007) 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, 35916074 + ... + 37870362.

Almost surely, 2^{72100010112002} is an apocalyptic number.

72100010112002 is a deficient number, since it is larger than the sum of its proper divisors (38973258063478).

72100010112002 is a wasteful number, since it uses less digits than its factorization.

72100010112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452885.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 72100010112002 its reverse (20021101000127), we get a palindrome (92121111112129).

The spelling of 72100010112002 in words is "seventy-two trillion, one hundred billion, ten million, one hundred twelve thousand, two".