101200012100001 has 48 divisors (see below), whose sum is σ = 152908132890240. Its totient is φ = 64374801469440.

The previous prime is 101200012099993. The next prime is 101200012100081. The reversal of 101200012100001 is 100001210002101.

It is a happy number.

It is not a de Polignac number, because 101200012100001 - 2³ = 101200012099993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101200012100081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1590738145 + ... + 1590801761.

It is an arithmetic number, because the mean of its divisors is an integer number (3185586101880).

Almost surely, 2^{101200012100001} is an apocalyptic number.

It is an amenable number.

101200012100001 is a deficient number, since it is larger than the sum of its proper divisors (51708120790239).

101200012100001 is a wasteful number, since it uses less digits than its factorization.

101200012100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82406 (or 82403 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101200012100001 its reverse (100001210002101), we get a palindrome (201201222102102).

The spelling of 101200012100001 in words is "one hundred one trillion, two hundred billion, twelve million, one hundred thousand, one".