10100540401025 has 12 divisors (see below), whose sum is σ = 12729992559804. Its totient is φ = 7947966216000.

The previous prime is 10100540401009. The next prime is 10100540401037. The reversal of 10100540401025 is 52010404500101.

It can be written as a sum of positive squares in 6 ways, for example, as 2180193996304 + 7920346404721 = 1476548^2 + 2814311^2 .

It is not a de Polignac number, because 10100540401025 - 2⁴ = 10100540401009 is a prime.

It is a super-3 number, since 3×10100540401025³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3311651066 + ... + 3311654115.

It is an arithmetic number, because the mean of its divisors is an integer number (1060832713317).

Almost surely, 2^{10100540401025} is an apocalyptic number.

It is an amenable number.

10100540401025 is a deficient number, since it is larger than the sum of its proper divisors (2629452158779).

10100540401025 is an equidigital number, since it uses as much as digits as its factorization.

10100540401025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623305252 (or 6623305247 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 10100540401025 its reverse (52010404500101), we get a palindrome (62110944901126).

The spelling of 10100540401025 in words is "ten trillion, one hundred billion, five hundred forty million, four hundred one thousand, twenty-five".