101000100100010 has 128 divisors (see below), whose sum is σ = 190769659315200. Its totient is φ = 38465570304000.

The previous prime is 101000100100007. The next prime is 101000100100027. The reversal of 101000100100010 is 10001001000101.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101000100099967 and 101000100100003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1842065276 + ... + 1842120104.

It is an arithmetic number, because the mean of its divisors is an integer number (1490387963400).

Almost surely, 2^{101000100100010} is an apocalyptic number.

101000100100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000100100010 is a deficient number, since it is larger than the sum of its proper divisors (89769559215190).

101000100100010 is a wasteful number, since it uses less digits than its factorization.

101000100100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55488.

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

Adding to 101000100100010 its reverse (10001001000101), we get a palindrome (111001101100111).

Subtracting from 101000100100010 its reverse (10001001000101), we obtain a palindrome (90999099099909).

The spelling of 101000100100010 in words is "one hundred one trillion, one hundred million, one hundred thousand, ten".