100121210010 has 48 divisors (see below), whose sum is σ = 260460106920. Its totient is φ = 26684121600.

The previous prime is 100121210003. The next prime is 100121210039. The reversal of 100121210010 is 10012121001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34717750929 + 65403459081 = 186327^2 + 255741^2 .

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 = 100121209974 and 100121210001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146755 + ... + 470934.

Almost surely, 2^100121210010 is an apocalyptic number.

100121210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121210010 is an abundant number, since it is smaller than the sum of its proper divisors (160338896910).

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

100121210010 is a wasteful number, since it uses less digits than its factorization.

100121210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619503 (or 619500 counting only the distinct ones).

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

Adding to 100121210010 its reverse (10012121001), we get a palindrome (110133331011).

The spelling of 100121210010 in words is "one hundred billion, one hundred twenty-one million, two hundred ten thousand, ten".