101012112201 has 128 divisors (see below), whose sum is σ = 191816626176. Its totient is φ = 45505658880.

The previous prime is 101012112197. The next prime is 101012112209. The reversal of 101012112201 is 102211210101.

It is not a de Polignac number, because 101012112201 - 2² = 101012112197 is a prime.

It is a super-2 number, since 2×101012112201² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101012112209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34866385 + ... + 34869281.

It is an arithmetic number, because the mean of its divisors is an integer number (1498567392).

Almost surely, 2^101012112201 is an apocalyptic number.

101012112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012112201 is a deficient number, since it is larger than the sum of its proper divisors (90804513975).

101012112201 is a wasteful number, since it uses less digits than its factorization.

101012112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631.

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

Adding to 101012112201 its reverse (102211210101), we get a palindrome (203223322302).

The spelling of 101012112201 in words is "one hundred one billion, twelve million, one hundred twelve thousand, two hundred one".