101002102222212 has 72 divisors (see below), whose sum is σ = 258000085541016. Its totient is φ = 33312899303424.

The previous prime is 101002102222211. The next prime is 101002102222253. The reversal of 101002102222212 is 212222201200101.

It is a happy number.

101002102222212 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 210 + 222 + 221 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9805064740416 + 91197037481796 = 3131304^2 + 9549714^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101002102222211) 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, 12571698 + ... + 18975030.

It is an arithmetic number, because the mean of its divisors is an integer number (3583334521403).

Almost surely, 2^{101002102222212} is an apocalyptic number.

101002102222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002102222212 is an abundant number, since it is smaller than the sum of its proper divisors (156997983318804).

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

101002102222212 is a wasteful number, since it uses less digits than its factorization.

101002102222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407957 (or 6407952 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101002102222212 its reverse (212222201200101), we get a palindrome (313224303422313).

The spelling of 101002102222212 in words is "one hundred one trillion, two billion, one hundred two million, two hundred twenty-two thousand, two hundred twelve".