101009100026 has 16 divisors (see below), whose sum is σ = 155253383208. Its totient is φ = 49258675200.

The previous prime is 101009100011. The next prime is 101009100167. The reversal of 101009100026 is 620001900101.

It can be written as a sum of positive squares in 4 ways, for example, as 41765053225 + 59244046801 = 204365^2 + 243401^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101009099980 and 101009100007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116426 + ... + 464298.

Almost surely, 2^101009100026 is an apocalyptic number.

101009100026 is a deficient number, since it is larger than the sum of its proper divisors (54244283182).

101009100026 is a wasteful number, since it uses less digits than its factorization.

101009100026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351457.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 101009100026 in words is "one hundred one billion, nine million, one hundred thousand, twenty-six".