101012120010 has 80 divisors (see below), whose sum is σ = 277926983136. Its totient is φ = 26310124512.

The previous prime is 101012120003. The next prime is 101012120017. The reversal of 101012120010 is 10021210101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101012120003) and next prime (101012120017).

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 = 101012119974 and 101012120001.

It is not an unprimeable number, because it can be changed into a prime (101012120017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1415244 + ... + 1484903.

Almost surely, 2^101012120010 is an apocalyptic number.

101012120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101012120010 is an abundant number, since it is smaller than the sum of its proper divisors (176914863126).

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

101012120010 is a wasteful number, since it uses less digits than its factorization.

101012120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900209 (or 2900200 counting only the distinct ones).

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

Adding to 101012120010 its reverse (10021210101), we get a palindrome (111033330111).

Subtracting from 101012120010 its reverse (10021210101), we obtain a palindrome (90990909909).

The spelling of 101012120010 in words is "one hundred one billion, twelve million, one hundred twenty thousand, ten".