101022122111202 has 48 divisors (see below), whose sum is σ = 220928293044888. Its totient is φ = 33360561192960.

The previous prime is 101022122111159. The next prime is 101022122111231. The reversal of 101022122111202 is 202111221220101.

101022122111202 is a `hidden beast` number, since 1 + 0 + 10 + 221 + 221 + 11 + 202 = 666.

101022122111202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 89424276386481 + 11597845724721 = 9456441^2 + 3405561^2 .

It is a super-3 number, since 3×101022122111202³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59493643 + ... + 61168110.

Almost surely, 2^{101022122111202} is an apocalyptic number.

101022122111202 is an abundant number, since it is smaller than the sum of its proper divisors (119906170933686).

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

101022122111202 is a wasteful number, since it uses less digits than its factorization.

101022122111202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120662195 (or 120662192 counting only the distinct ones).

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

Adding to 101022122111202 its reverse (202111221220101), we get a palindrome (303133343331303).

The spelling of 101022122111202 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, two hundred two".