4101070512100 has 81 divisors (see below), whose sum is σ = 8941666353627. Its totient is φ = 1632659882880.

The previous prime is 4101070512089. The next prime is 4101070512137. The reversal of 4101070512100 is 12150701014.

The square root of 4101070512100 is 2025110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2303905051044 + 1797165461056 = 1517862^2 + 1340584^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6338593977 + ... + 6338594623.

Almost surely, 2^{4101070512100} is an apocalyptic number.

4101070512100 is the 2025110-th square number.

It is an amenable number.

4101070512100 is an abundant number, since it is smaller than the sum of its proper divisors (4840595841527).

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

4101070512100 is an frugal number, since it uses more digits than its factorization.

4101070512100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 22.

The spelling of 4101070512100 in words is "four trillion, one hundred one billion, seventy million, five hundred twelve thousand, one hundred".