10001022112101 has 16 divisors (see below), whose sum is σ = 13594594051584. Its totient is φ = 6537552825024.

The previous prime is 10001022112097. The next prime is 10001022112127. The reversal of 10001022112101 is 10121122010001.

It is not a de Polignac number, because 10001022112101 - 2² = 10001022112097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001022112201) 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, 18951541 + ... + 19472106.

It is an arithmetic number, because the mean of its divisors is an integer number (849662128224).

Almost surely, 2^{10001022112101} is an apocalyptic number.

It is an amenable number.

10001022112101 is a deficient number, since it is larger than the sum of its proper divisors (3593571939483).

10001022112101 is a wasteful number, since it uses less digits than its factorization.

10001022112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38425340.

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

Adding to 10001022112101 its reverse (10121122010001), we get a palindrome (20122144122102).

The spelling of 10001022112101 in words is "ten trillion, one billion, twenty-two million, one hundred twelve thousand, one hundred one".