100201012220121 has 64 divisors (see below), whose sum is σ = 139880128608000. Its totient is φ = 63765459394560.

The previous prime is 100201012220107. The next prime is 100201012220131. The reversal of 100201012220121 is 121022210102001.

It is not a de Polignac number, because 100201012220121 - 2¹⁴ = 100201012203737 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100201012220121.

It is not an unprimeable number, because it can be changed into a prime (100201012220131) 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, 193771491 + ... + 194287911.

It is an arithmetic number, because the mean of its divisors is an integer number (2185627009500).

Almost surely, 2^{100201012220121} is an apocalyptic number.

It is an amenable number.

100201012220121 is a deficient number, since it is larger than the sum of its proper divisors (39679116387879).

100201012220121 is a wasteful number, since it uses less digits than its factorization.

100201012220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516794.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100201012220121 its reverse (121022210102001), we get a palindrome (221223222322122).

The spelling of 100201012220121 in words is "one hundred trillion, two hundred one billion, twelve million, two hundred twenty thousand, one hundred twenty-one".