10102296484921 has 9 divisors (see below), whose sum is σ = 10382831717391. Its totient is φ = 9829147021992.

The previous prime is 10102296484883. The next prime is 10102296484933. The reversal of 10102296484921 is 12948469220101.

The square root of 10102296484921 is 3178411.

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

It can be written as a sum of positive squares in only one way, i.e., 9039673626025 + 1062622858896 = 3006605^2 + 1030836^2 .

It is not a de Polignac number, because 10102296484921 - 2¹³ = 10102296476729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102296884921) 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, 117558256 + ... + 117644158.

It is an arithmetic number, because the mean of its divisors is an integer number (1153647968599).

Almost surely, 2^{10102296484921} is an apocalyptic number.

10102296484921 is the 3178411-st square number.

10102296484921 is the 1589206-th centered octagonal number.

It is an amenable number.

10102296484921 is a deficient number, since it is larger than the sum of its proper divisors (280535232470).

10102296484921 is an frugal number, since it uses more digits than its factorization.

10102296484921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171880 (or 85940 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 10102296484921 by its sum of digits (49), we get a square (495012527761129 = 22248877²).

The spelling of 10102296484921 in words is "ten trillion, one hundred two billion, two hundred ninety-six million, four hundred eighty-four thousand, nine hundred twenty-one".