101001000010010 has 32 divisors (see below), whose sum is σ = 191985654556800. Its totient is φ = 38150995412160.

The previous prime is 101001000010003. The next prime is 101001000010061. The reversal of 101001000010010 is 10010000100101.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 101001000009976 and 101001000010003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854577905 + ... + 854696084.

It is an arithmetic number, because the mean of its divisors is an integer number (5999551704900).

Almost surely, 2^{101001000010010} is an apocalyptic number.

101001000010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001000010010 is a deficient number, since it is larger than the sum of its proper divisors (90984654546790).

101001000010010 is a wasteful number, since it uses less digits than its factorization.

101001000010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709274326.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101001000010010 its reverse (10010000100101), we get a palindrome (111011000110111).

Subtracting from 101001000010010 its reverse (10010000100101), we obtain a palindrome (90990999909909).

The spelling of 101001000010010 in words is "one hundred one trillion, one billion, ten thousand, ten".