101210211122121 has 12 divisors (see below), whose sum is σ = 154792087598772. Its totient is φ = 63504446194176.

The previous prime is 101210211122071. The next prime is 101210211122123. The reversal of 101210211122121 is 121221112012101.

It is a happy number.

101210211122121 is a `hidden beast` number, since 1 + 0 + 1 + 210 + 211 + 1 + 221 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87720832083600 + 13489379038521 = 9365940^2 + 3672789^2 .

It is not a de Polignac number, because 101210211122121 - 2¹⁵ = 101210211089353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101210211122094 and 101210211122103.

It is not an unprimeable number, because it can be changed into a prime (101210211122123) 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, 330752323776 + ... + 330752324081.

It is an arithmetic number, because the mean of its divisors is an integer number (12899340633231).

Almost surely, 2^{101210211122121} is an apocalyptic number.

It is an amenable number.

101210211122121 is a deficient number, since it is larger than the sum of its proper divisors (53581876476651).

101210211122121 is a wasteful number, since it uses less digits than its factorization.

101210211122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661504647880 (or 661504647877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101210211122121 its reverse (121221112012101), we get a palindrome (222431323134222).

The spelling of 101210211122121 in words is "one hundred one trillion, two hundred ten billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".