10100012120010 has 48 divisors (see below), whose sum is σ = 26286370794216. Its totient is φ = 2690635100544.

The previous prime is 10100012119999. The next prime is 10100012120027. The reversal of 10100012120010 is 1002121000101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10083819303009 + 16192817001 = 3175503^2 + 127251^2 .

It is a super-3 number, since 3×10100012120010³ (a number of 40 digits) contains 333 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 = 10100012119974 and 10100012120001.

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, 56190289 + ... + 56369748.

Almost surely, 2^{10100012120010} is an apocalyptic number.

10100012120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100012120010 is an abundant number, since it is smaller than the sum of its proper divisors (16186358674206).

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

10100012120010 is a wasteful number, since it uses less digits than its factorization.

10100012120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112561047 (or 112561044 counting only the distinct ones).

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

Adding to 10100012120010 its reverse (1002121000101), we get a palindrome (11102133120111).

The spelling of 10100012120010 in words is "ten trillion, one hundred billion, twelve million, one hundred twenty thousand, ten".