100121021010 has 72 divisors (see below), whose sum is σ = 272124900684. Its totient is φ = 25538103360.

The previous prime is 100121021009. The next prime is 100121021047. The reversal of 100121021010 is 10120121001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90961956801 + 9159064209 = 301599^2 + 95703^2 .

It is a super-2 number, since 2×100121021010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100121020983 and 100121021001.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1003861 + ... + 1099080.

Almost surely, 2^100121021010 is an apocalyptic number.

100121021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121021010 is an abundant number, since it is smaller than the sum of its proper divisors (172003879674).

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

100121021010 is a wasteful number, since it uses less digits than its factorization.

100121021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103000 (or 2102974 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100121021010 its reverse (10120121001), we get a palindrome (110241142011).

Subtracting from 100121021010 its reverse (10120121001), we obtain a palindrome (90000900009).

The spelling of 100121021010 in words is "one hundred billion, one hundred twenty-one million, twenty-one thousand, ten".