101121002201001 has 16 divisors (see below), whose sum is σ = 148094831600640. Its totient is φ = 61089118033680.

The previous prime is 101121002200937. The next prime is 101121002201027. The reversal of 101121002201001 is 100102200121101.

It is not a de Polignac number, because 101121002201001 - 2⁶ = 101121002200937 is a prime.

It is a super-2 number, since 2×101121002201001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101121002201041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38566361085 + ... + 38566363706.

It is an arithmetic number, because the mean of its divisors is an integer number (9255926975040).

Almost surely, 2^{101121002201001} is an apocalyptic number.

It is an amenable number.

101121002201001 is a deficient number, since it is larger than the sum of its proper divisors (46973829399639).

101121002201001 is a wasteful number, since it uses less digits than its factorization.

101121002201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77132724836.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101121002201001 its reverse (100102200121101), we get a palindrome (201223202322102).

The spelling of 101121002201001 in words is "one hundred one trillion, one hundred twenty-one billion, two million, two hundred one thousand, one".