101012553 has 12 divisors (see below), whose sum is σ = 149850948. Its totient is φ = 65521440.

The previous prime is 101012537. The next prime is 101012557. The reversal of 101012553 is 355210101.

101012553 is a `hidden beast` number, since 10 + 101 + 2 + 553 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96294969 + 4717584 = 9813^2 + 2172^2 .

It is not a de Polignac number, because 101012553 - 2⁴ = 101012537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101012557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151338 + ... + 152003.

It is an arithmetic number, because the mean of its divisors is an integer number (12487579).

Almost surely, 2^101012553 is an apocalyptic number.

It is an amenable number.

101012553 is a deficient number, since it is larger than the sum of its proper divisors (48838395).

101012553 is a wasteful number, since it uses less digits than its factorization.

101012553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303384 (or 303381 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101012553 is about 10050.5001368091. The cubic root of 101012553 is about 465.7202435258.

Adding to 101012553 its reverse (355210101), we get a palindrome (456222654).

The spelling of 101012553 in words is "one hundred one million, twelve thousand, five hundred fifty-three".