100120202021221 has 16 divisors (see below), whose sum is σ = 100281566473200. Its totient is φ = 99959005605888.

The previous prime is 100120202021183. The next prime is 100120202021243. The reversal of 100120202021221 is 122120202021001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 67886888422500 + 32233313598721 = 8239350^2 + 5677439^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120202021221 - 2¹⁵ = 100120201988453 is a prime.

It is a super-2 number, since 2×100120202021221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120202021195 and 100120202021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120202021251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12107893075 + ... + 12107901343.

It is an arithmetic number, because the mean of its divisors is an integer number (6267597904575).

Almost surely, 2^{100120202021221} is an apocalyptic number.

It is an amenable number.

100120202021221 is a deficient number, since it is larger than the sum of its proper divisors (161364451979).

100120202021221 is a wasteful number, since it uses less digits than its factorization.

100120202021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16248.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100120202021221 its reverse (122120202021001), we get a palindrome (222240404042222).

The spelling of 100120202021221 in words is "one hundred trillion, one hundred twenty billion, two hundred two million, twenty-one thousand, two hundred twenty-one".