101102202001 has 24 divisors (see below), whose sum is σ = 110510738424. Its totient is φ = 92433868800.

The previous prime is 101102201987. The next prime is 101102202017. The reversal of 101102202001 is 100202201101.

It can be written as a sum of positive squares in 12 ways, for example, as 26179563601 + 74922638400 = 161801^2 + 273720^2 .

It is not a de Polignac number, because 101102202001 - 2¹³ = 101102193809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101102202401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514341 + ... + 1579693.

It is an arithmetic number, because the mean of its divisors is an integer number (4604614101).

Almost surely, 2^101102202001 is an apocalyptic number.

It is an amenable number.

101102202001 is a deficient number, since it is larger than the sum of its proper divisors (9408536423).

101102202001 is a wasteful number, since it uses less digits than its factorization.

101102202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65541 (or 65524 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101102202001 its reverse (100202201101), we get a palindrome (201304403102).

The spelling of 101102202001 in words is "one hundred one billion, one hundred two million, two hundred two thousand, one".