10100010009981 has 32 divisors (see below), whose sum is σ = 13847750179200. Its totient is φ = 6543260123904.

The previous prime is 10100010009979. The next prime is 10100010009983. The reversal of 10100010009981 is 18990001000101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100010009979) and next prime (10100010009983).

It is not a de Polignac number, because 10100010009981 - 2¹ = 10100010009979 is a prime.

It is a super-2 number, since 2×10100010009981² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010009983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319878111 + ... + 319909683.

It is an arithmetic number, because the mean of its divisors is an integer number (432742193100).

Almost surely, 2^{10100010009981} is an apocalyptic number.

It is an amenable number.

10100010009981 is a deficient number, since it is larger than the sum of its proper divisors (3747740169219).

10100010009981 is a wasteful number, since it uses less digits than its factorization.

10100010009981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35085.

The product of its (nonzero) digits is 648, while the sum is 30.

The spelling of 10100010009981 in words is "ten trillion, one hundred billion, ten million, nine thousand, nine hundred eighty-one".