100020122022112 has 96 divisors (see below), whose sum is σ = 210459708375840. Its totient is φ = 46625600471040.

The previous prime is 100020122022053. The next prime is 100020122022137. The reversal of 100020122022112 is 211220221020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256972287 + ... + 257361217.

It is an arithmetic number, because the mean of its divisors is an integer number (2192288628915).

Almost surely, 2^{100020122022112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100020122022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105229854187920).

100020122022112 is an abundant number, since it is smaller than the sum of its proper divisors (110439586353728).

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

100020122022112 is a wasteful number, since it uses less digits than its factorization.

100020122022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393404 (or 393396 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100020122022112 its reverse (211220221020001), we get a palindrome (311240343042113).

The spelling of 100020122022112 in words is "one hundred trillion, twenty billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".