101106051111025 has 12 divisors (see below), whose sum is σ = 126663993106252. Its totient is φ = 80050976547840.

The previous prime is 101106051111019. The next prime is 101106051111061. The reversal of 101106051111025 is 520111150601101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 22326012451681 + 78780038659344 = 4725041^2 + 8875812^2 .

It is not a de Polignac number, because 101106051111025 - 2³ = 101106051111017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 20846606052 + ... + 20846610901.

Almost surely, 2^{101106051111025} is an apocalyptic number.

It is an amenable number.

101106051111025 is a deficient number, since it is larger than the sum of its proper divisors (25557941995227).

101106051111025 is an equidigital number, since it uses as much as digits as its factorization.

101106051111025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41693217060 (or 41693217055 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 25.

The spelling of 101106051111025 in words is "one hundred one trillion, one hundred six billion, fifty-one million, one hundred eleven thousand, twenty-five".