101012120210010 has 64 divisors (see below), whose sum is σ = 244236368323584. Its totient is φ = 26736327820800.

The previous prime is 101012120210003. The next prime is 101012120210011. The reversal of 101012120210010 is 10012021210101.

101012120210010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101012120210011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15023754 + ... + 20681813.

It is an arithmetic number, because the mean of its divisors is an integer number (3816193255056).

Almost surely, 2^{101012120210010} is an apocalyptic number.

101012120210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101012120210010 is an abundant number, since it is smaller than the sum of its proper divisors (143224248113574).

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

101012120210010 is a wasteful number, since it uses less digits than its factorization.

101012120210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35706279.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012120210010 its reverse (10012021210101), we get a palindrome (111024141420111).

The spelling of 101012120210010 in words is "one hundred one trillion, twelve billion, one hundred twenty million, two hundred ten thousand, ten".