101012100120001 has 32 divisors (see below), whose sum is σ = 125130743619840. Its totient is φ = 79576231680000.

The previous prime is 101012100119989. The next prime is 101012100120007. The reversal of 101012100120001 is 100021001210101.

It is a cyclic number.

It is not a de Polignac number, because 101012100120001 - 2¹⁷ = 101012099988929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101012100120001.

It is not an unprimeable number, because it can be changed into a prime (101012100120007) 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, 49046500 + ... + 51064501.

It is an arithmetic number, because the mean of its divisors is an integer number (3910335738120).

Almost surely, 2^{101012100120001} is an apocalyptic number.

It is an amenable number.

101012100120001 is a deficient number, since it is larger than the sum of its proper divisors (24118643499839).

101012100120001 is a wasteful number, since it uses less digits than its factorization.

101012100120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111225.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101012100120001 its reverse (100021001210101), we get a palindrome (201033101330102).

The spelling of 101012100120001 in words is "one hundred one trillion, twelve billion, one hundred million, one hundred twenty thousand, one".