100021220101992 has 256 divisors, whose sum is σ = 296338142822400. Its totient is φ = 27529716695040.

The previous prime is 100021220101951. The next prime is 100021220102029. The reversal of 100021220101992 is 299101022120001.

It is a super-2 number, since 2×100021220101992² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2078598109 + ... + 2078646227.

It is an arithmetic number, because the mean of its divisors is an integer number (1157570870400).

Almost surely, 2^{100021220101992} is an apocalyptic number.

100021220101992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021220101992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148169071411200).

100021220101992 is an abundant number, since it is smaller than the sum of its proper divisors (196316922720408).

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

100021220101992 is a wasteful number, since it uses less digits than its factorization.

100021220101992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49976 (or 49972 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

Adding to 100021220101992 its reverse (299101022120001), we get a palindrome (399122242221993).

The spelling of 100021220101992 in words is "one hundred trillion, twenty-one billion, two hundred twenty million, one hundred one thousand, nine hundred ninety-two".