100212121020 has 384 divisors, whose sum is σ = 332183255040. Its totient is φ = 22317137920.

The previous prime is 100212121007. The next prime is 100212121057. The reversal of 100212121020 is 20121212001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100212120987 and 100212121005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102570772 + ... + 102571748.

It is an arithmetic number, because the mean of its divisors is an integer number (865060560).

Almost surely, 2^100212121020 is an apocalyptic number.

100212121020 is a gapful number since it is divisible by the number (10) 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 100212121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166091627520).

100212121020 is an abundant number, since it is smaller than the sum of its proper divisors (231971134020).

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

100212121020 is a wasteful number, since it uses less digits than its factorization.

100212121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100212121020 its reverse (20121212001), we get a palindrome (120333333021).

The spelling of 100212121020 in words is "one hundred billion, two hundred twelve million, one hundred twenty-one thousand, twenty".