101202022212102 has 96 divisors (see below), whose sum is σ = 252184754325504. Its totient is φ = 28731745742400.

The previous prime is 101202022212089. The next prime is 101202022212107. The reversal of 101202022212102 is 201212220202101.

It is a happy number.

101202022212102 is a `hidden beast` number, since 10 + 1 + 20 + 202 + 221 + 210 + 2 = 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 (101202022212107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26271783 + ... + 29876589.

It is an arithmetic number, because the mean of its divisors is an integer number (2626924524224).

Almost surely, 2^{101202022212102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202022212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126092377162752).

101202022212102 is an abundant number, since it is smaller than the sum of its proper divisors (150982732113402).

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

101202022212102 is a wasteful number, since it uses less digits than its factorization.

101202022212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606234 (or 3606231 counting only the distinct ones).

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

Adding to 101202022212102 its reverse (201212220202101), we get a palindrome (302414242414203).

The spelling of 101202022212102 in words is "one hundred one trillion, two hundred two billion, twenty-two million, two hundred twelve thousand, one hundred two".