10109213891001 has 9 divisors (see below), whose sum is σ = 14602211620399. Its totient is φ = 6739469568336.

The previous prime is 10109213890991. The next prime is 10109213891059. The reversal of 10109213891001 is 10019831290101.

The square root of 10109213891001 is 3179499.

It is a perfect power (a square), and thus also a powerful number.

10109213891001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8159906468025 + 1949307422976 = 2856555^2 + 1396176^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10109213891001 - 2¹⁹ = 10109213366713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10109213891501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9008581 + ... + 10068413.

Almost surely, 2^{10109213891001} is an apocalyptic number.

10109213891001 is the 3179499-th square number.

10109213891001 is the 1589750-th centered octagonal number.

It is an amenable number.

10109213891001 is a deficient number, since it is larger than the sum of its proper divisors (4492997729398).

10109213891001 is an frugal number, since it uses more digits than its factorization.

10109213891001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119672 (or 1059836 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

Multiplying 10109213891001 by its sum of digits (36), we get a square (363931700076036 = 19076994²).

The spelling of 10109213891001 in words is "ten trillion, one hundred nine billion, two hundred thirteen million, eight hundred ninety-one thousand, one".