101020222121121 has 12 divisors (see below), whose sum is σ = 147362832270420. Its totient is φ = 66680014600800.

The previous prime is 101020222121113. The next prime is 101020222121149. The reversal of 101020222121121 is 121121222020101.

101020222121121 is a `hidden beast` number, since 1 + 0 + 10 + 202 + 221 + 211 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52003770740496 + 49016451380625 = 7211364^2 + 7001175^2 .

It is not a de Polignac number, because 101020222121121 - 2³ = 101020222121113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020222121094 and 101020222121103.

It is not an unprimeable number, because it can be changed into a prime (101020222120121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55566677926 + ... + 55566679743.

It is an arithmetic number, because the mean of its divisors is an integer number (12280236022535).

Almost surely, 2^{101020222121121} is an apocalyptic number.

It is an amenable number.

101020222121121 is a deficient number, since it is larger than the sum of its proper divisors (46342610149299).

101020222121121 is a wasteful number, since it uses less digits than its factorization.

101020222121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111133357776 (or 111133357773 counting only the distinct ones).

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

Adding to 101020222121121 its reverse (121121222020101), we get a palindrome (222141444141222).

The spelling of 101020222121121 in words is "one hundred one trillion, twenty billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".