10121130100 has 36 divisors (see below), whose sum is σ = 21974985004. Its totient is φ = 4046215680.

The previous prime is 10121130073. The next prime is 10121130113. The reversal of 10121130100 is 103112101.

It can be written as a sum of positive squares in 6 ways, for example, as 297148644 + 9823981456 = 17238^2 + 99116^2 .

It is a super-2 number, since 2×10121130100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160282 + ... + 214318.

Almost surely, 2^10121130100 is an apocalyptic number.

10121130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121130100 is an abundant number, since it is smaller than the sum of its proper divisors (11853854904).

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

10121130100 is a wasteful number, since it uses less digits than its factorization.

10121130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55924 (or 55917 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10121130100 its reverse (103112101), we get a palindrome (10224242201).

The spelling of 10121130100 in words is "ten billion, one hundred twenty-one million, one hundred thirty thousand, one hundred".