100201230220201 has 64 divisors (see below), whose sum is σ = 116527920157440. Its totient is φ = 85152750592000.

The previous prime is 100201230220171. The next prime is 100201230220207. The reversal of 100201230220201 is 102022032102001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100201230220201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100201230220207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31108731771 + ... + 31108734991.

It is an arithmetic number, because the mean of its divisors is an integer number (1820748752460).

Almost surely, 2^{100201230220201} is an apocalyptic number.

100201230220201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201230220201 is a deficient number, since it is larger than the sum of its proper divisors (16326689937239).

100201230220201 is a wasteful number, since it uses less digits than its factorization.

100201230220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100201230220201 its reverse (102022032102001), we get a palindrome (202223262322202).

It can be divided in two parts, 1002012 and 30220201, that added together give a palindrome (31222213).

The spelling of 100201230220201 in words is "one hundred trillion, two hundred one billion, two hundred thirty million, two hundred twenty thousand, two hundred one".