10100010010010 has 32 divisors (see below), whose sum is σ = 18300863647872. Its totient is φ = 4013150731200.

The previous prime is 10100010009983. The next prime is 10100010010021. The reversal of 10100010010010 is 1001001000101.

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

10100010010010 is a modest number, since divided by 10010010 gives 10100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10100010009976 and 10100010010003.

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, 117067949 + ... + 117154191.

It is an arithmetic number, because the mean of its divisors is an integer number (571901988996).

Almost surely, 2^{10100010010010} is an apocalyptic number.

10100010010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100010010010 is a deficient number, since it is larger than the sum of its proper divisors (8200853637862).

10100010010010 is a wasteful number, since it uses less digits than its factorization.

10100010010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163958.

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

Adding to 10100010010010 its reverse (1001001000101), we get a palindrome (11101011010111).

Subtracting from 10100010010010 its reverse (1001001000101), we obtain a palindrome (9099009009909).

The spelling of 10100010010010 in words is "ten trillion, one hundred billion, ten million, ten thousand, ten".