101011002112202 has 48 divisors (see below), whose sum is σ = 189832579495272. Its totient is φ = 39956039303040.

The previous prime is 101011002112177. The next prime is 101011002112247. The reversal of 101011002112202 is 202211200110101.

It can be written as a sum of positive squares in 4 ways, for example, as 89132839758361 + 11878162353841 = 9441019^2 + 3446471^2 .

It is a super-2 number, since 2×101011002112202² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 7378628 + ... + 16014560.

Almost surely, 2^{101011002112202} is an apocalyptic number.

101011002112202 is a deficient number, since it is larger than the sum of its proper divisors (88821577383070).

101011002112202 is a wasteful number, since it uses less digits than its factorization.

101011002112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645143 (or 8645136 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011002112202 its reverse (202211200110101), we get a palindrome (303222202222303).

The spelling of 101011002112202 in words is "one hundred one trillion, eleven billion, two million, one hundred twelve thousand, two hundred two".