101012201121 has 32 divisors (see below), whose sum is σ = 150756117120. Its totient is φ = 59733273600.

The previous prime is 101012201083. The next prime is 101012201123. The reversal of 101012201121 is 121102210101.

It is not a de Polignac number, because 101012201121 - 2²² = 101008006817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012201097 and 101012201106.

It is not an unprimeable number, because it can be changed into a prime (101012201123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27001 + ... + 450281.

It is an arithmetic number, because the mean of its divisors is an integer number (4711128660).

Almost surely, 2^101012201121 is an apocalyptic number.

It is an amenable number.

101012201121 is a deficient number, since it is larger than the sum of its proper divisors (49743915999).

101012201121 is a wasteful number, since it uses less digits than its factorization.

101012201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423537.

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

Adding to 101012201121 its reverse (121102210101), we get a palindrome (222114411222).

The spelling of 101012201121 in words is "one hundred one billion, twelve million, two hundred one thousand, one hundred twenty-one".