101221012122021 has 24 divisors (see below), whose sum is σ = 159545361612000. Its totient is φ = 61328535285600.

The previous prime is 101221012122017. The next prime is 101221012122031. The reversal of 101221012122021 is 120221210122101.

101221012122021 is a `hidden beast` number, since 101 + 221 + 0 + 121 + 220 + 2 + 1 = 666.

It is not a de Polignac number, because 101221012122021 - 2² = 101221012122017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101221012121985 and 101221012122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221012122031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145757410 + ... + 146450211.

It is an arithmetic number, because the mean of its divisors is an integer number (6647723400500).

Almost surely, 2^{101221012122021} is an apocalyptic number.

101221012122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221012122021 is a deficient number, since it is larger than the sum of its proper divisors (58324349489979).

101221012122021 is a wasteful number, since it uses less digits than its factorization.

101221012122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292211137 (or 292211134 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101221012122021 its reverse (120221210122101), we get a palindrome (221442222244122).

The spelling of 101221012122021 in words is "one hundred one trillion, two hundred twenty-one billion, twelve million, one hundred twenty-two thousand, twenty-one".