100122220102021 has 8 divisors (see below), whose sum is σ = 108891492998904. Its totient is φ = 91505456299200.

The previous prime is 100122220101907. The next prime is 100122220102033. The reversal of 100122220102021 is 120201022221001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41831285579521 + 58290934522500 = 6467711^2 + 7634850^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100122220102021 - 2¹⁹ = 100122219577733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122220101986 and 100122220102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122220102621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38127272146 + ... + 38127274771.

It is an arithmetic number, because the mean of its divisors is an integer number (13611436624863).

Almost surely, 2^{100122220102021} is an apocalyptic number.

It is an amenable number.

100122220102021 is a deficient number, since it is larger than the sum of its proper divisors (8769272896883).

100122220102021 is a wasteful number, since it uses less digits than its factorization.

100122220102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76254547031.

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

Adding to 100122220102021 its reverse (120201022221001), we get a palindrome (220323242323022).

The spelling of 100122220102021 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, one hundred two thousand, twenty-one".