10100111010010 has 48 divisors (see below), whose sum is σ = 21150251756064. Its totient is φ = 3462591289248.

The previous prime is 10100111009999. The next prime is 10100111010083. The reversal of 10100111010010 is 1001011100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10100111009975 and 10100111010002.

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, 4720057 + ... + 6517603.

It is an arithmetic number, because the mean of its divisors is an integer number (440630244918).

Almost surely, 2^{10100111010010} is an apocalyptic number.

10100111010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100111010010 is an abundant number, since it is smaller than the sum of its proper divisors (11050140746054).

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

10100111010010 is a wasteful number, since it uses less digits than its factorization.

10100111010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809035 (or 1809028 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100111010010 its reverse (1001011100101), we get a palindrome (11101122110111).

Subtracting from 10100111010010 its reverse (1001011100101), we obtain a palindrome (9099099909909).

The spelling of 10100111010010 in words is "ten trillion, one hundred billion, one hundred eleven million, ten thousand, ten".