101222210121102 has 32 divisors (see below), whose sum is σ = 257072279673600. Its totient is φ = 28920631463064.

The previous prime is 101222210121101. The next prime is 101222210121119. The reversal of 101222210121102 is 201121012222101.

101222210121102 is a `hidden beast` number, since 10 + 1 + 222 + 210 + 121 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222210121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133891811952 + ... + 133891812707.

It is an arithmetic number, because the mean of its divisors is an integer number (8033508739800).

Almost surely, 2^{101222210121102} is an apocalyptic number.

101222210121102 is an abundant number, since it is smaller than the sum of its proper divisors (155850069552498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101222210121102 is a wasteful number, since it uses less digits than its factorization.

101222210121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267783624677 (or 267783624671 counting only the distinct ones).

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

Adding to 101222210121102 its reverse (201121012222101), we get a palindrome (302343222343203).

The spelling of 101222210121102 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred ten million, one hundred twenty-one thousand, one hundred two".