10100112021 has 14 divisors (see below), whose sum is σ = 15143241750. Its totient is φ = 6733407528.

The previous prime is 10100112013. The next prime is 10100112023. The reversal of 10100112021 is 12021100101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9500400900 + 599711121 = 97470^2 + 24489^2 .

It is not a de Polignac number, because 10100112021 - 2³ = 10100112013 is a prime.

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 = 10100111994 and 10100112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100112023) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6926646 + ... + 6928103.

It is an arithmetic number, because the mean of its divisors is an integer number (1081660125).

Almost surely, 2^10100112021 is an apocalyptic number.

It is an amenable number.

10100112021 is a deficient number, since it is larger than the sum of its proper divisors (5043129729).

10100112021 is an frugal number, since it uses more digits than its factorization.

10100112021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13854767 (or 13854752 counting only the distinct ones).

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

Adding to 10100112021 its reverse (12021100101), we get a palindrome (22121212122).

The spelling of 10100112021 in words is "ten billion, one hundred million, one hundred twelve thousand, twenty-one".