10121042100 has 72 divisors (see below), whose sum is σ = 31536141280. Its totient is φ = 2491332480.

The previous prime is 10121042083. The next prime is 10121042101. The reversal of 10121042100 is 124012101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121042101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1293670 + ... + 1301469.

Almost surely, 2^10121042100 is an apocalyptic number.

10121042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121042100 is an abundant number, since it is smaller than the sum of its proper divisors (21415099180).

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

10121042100 is a wasteful number, since it uses less digits than its factorization.

10121042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595169 (or 2595162 counting only the distinct ones).

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

Adding to 10121042100 its reverse (124012101), we get a palindrome (10245054201).

The spelling of 10121042100 in words is "ten billion, one hundred twenty-one million, forty-two thousand, one hundred".