101012122010001 has 16 divisors (see below), whose sum is σ = 136017314616960. Its totient is φ = 66674181763200.

The previous prime is 101012122009927. The next prime is 101012122010021. The reversal of 101012122010001 is 100010221210101.

It is not a de Polignac number, because 101012122010001 - 2¹⁵ = 101012121977233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101012122010021) 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, 43058701 + ... + 45343973.

It is an arithmetic number, because the mean of its divisors is an integer number (8501082163560).

Almost surely, 2^{101012122010001} is an apocalyptic number.

It is an amenable number.

101012122010001 is a deficient number, since it is larger than the sum of its proper divisors (35005192606959).

101012122010001 is a wasteful number, since it uses less digits than its factorization.

101012122010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431256.

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

Adding to 101012122010001 its reverse (100010221210101), we get a palindrome (201022343220102).

The spelling of 101012122010001 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, ten thousand, one".