101022022222121 has 32 divisors (see below), whose sum is σ = 140013378011136. Its totient is φ = 70319218824000.

The previous prime is 101022022222117. The next prime is 101022022222153. The reversal of 101022022222121 is 121222220220101.

It is a cyclic number.

It is not a de Polignac number, because 101022022222121 - 2² = 101022022222117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022022222093 and 101022022222102.

It is not an unprimeable number, because it can be changed into a prime (101022022222421) 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, 1627728665 + ... + 1627790726.

It is an arithmetic number, because the mean of its divisors is an integer number (4375418062848).

Almost surely, 2^{101022022222121} is an apocalyptic number.

101022022222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101022022222121 is a deficient number, since it is larger than the sum of its proper divisors (38991355789015).

101022022222121 is a wasteful number, since it uses less digits than its factorization.

101022022222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255519453.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101022022222121 its reverse (121222220220101), we get a palindrome (222244242442222).

The spelling of 101022022222121 in words is "one hundred one trillion, twenty-two billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty-one".