100120211001 has 32 divisors (see below), whose sum is σ = 153627024000. Its totient is φ = 64367037504.

The previous prime is 100120210987. The next prime is 100120211021. The reversal of 100120211001 is 100112021001.

It is a happy number.

It is not a de Polignac number, because 100120211001 - 2¹¹ = 100120208953 is a prime.

It is a super-2 number, since 2×100120211001² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100120211021) 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, 571986 + ... + 726228.

It is an arithmetic number, because the mean of its divisors is an integer number (4800844500).

Almost surely, 2^100120211001 is an apocalyptic number.

It is an amenable number.

100120211001 is a deficient number, since it is larger than the sum of its proper divisors (53506812999).

100120211001 is a wasteful number, since it uses less digits than its factorization.

100120211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155110 (or 155104 counting only the distinct ones).

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

Adding to 100120211001 its reverse (100112021001), we get a palindrome (200232232002).

The spelling of 100120211001 in words is "one hundred billion, one hundred twenty million, two hundred eleven thousand, one".