101210202221121 has 24 divisors (see below), whose sum is σ = 167137022342784. Its totient is φ = 57813679419840.

The previous prime is 101210202221083. The next prime is 101210202221131. The reversal of 101210202221121 is 121122202012101.

101210202221121 is a `hidden beast` number, since 1 + 0 + 121 + 0 + 202 + 221 + 121 = 666.

It is not a de Polignac number, because 101210202221121 - 2⁷ = 101210202220993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101210202221094 and 101210202221103.

It is not an unprimeable number, because it can be changed into a prime (101210202221131) 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, 287626236 + ... + 287977901.

It is an arithmetic number, because the mean of its divisors is an integer number (6964042597616).

Almost surely, 2^{101210202221121} is an apocalyptic number.

It is an amenable number.

101210202221121 is a deficient number, since it is larger than the sum of its proper divisors (65926820121663).

101210202221121 is a wasteful number, since it uses less digits than its factorization.

101210202221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575606941 (or 575606938 counting only the distinct ones).

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

Adding to 101210202221121 its reverse (121122202012101), we get a palindrome (222332404233222).

The spelling of 101210202221121 in words is "one hundred one trillion, two hundred ten billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty-one".