101121222212021 has 16 divisors (see below), whose sum is σ = 111786505584768. Its totient is φ = 90707559192000.

The previous prime is 101121222211991. The next prime is 101121222212029. The reversal of 101121222212021 is 120212222121101.

It is a cyclic number.

It is not a de Polignac number, because 101121222212021 - 2¹⁸ = 101121221949877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101121222211984 and 101121222212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121222212029) 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, 154995641 + ... + 155646686.

It is an arithmetic number, because the mean of its divisors is an integer number (6986656599048).

Almost surely, 2^{101121222212021} is an apocalyptic number.

101121222212021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121222212021 is a deficient number, since it is larger than the sum of its proper divisors (10665283372747).

101121222212021 is a wasteful number, since it uses less digits than its factorization.

101121222212021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310642732.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101121222212021 its reverse (120212222121101), we get a palindrome (221333444333122).

The spelling of 101121222212021 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, twenty-one".