10292938644121 has 9 divisors (see below), whose sum is σ = 11973444547221. Its totient is φ = 8822499588252.

The previous prime is 10292938644101. The next prime is 10292938644137. The reversal of 10292938644121 is 12144683929201.

The square root of 10292938644121 is 3208261.

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

10292938644121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10292938644121 - 2²³ = 10292930255513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10292938644101) 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, 22228666 + ... + 22686988.

It is an arithmetic number, because the mean of its divisors is an integer number (1330382727469).

Almost surely, 2^{10292938644121} is an apocalyptic number.

10292938644121 is the 3208261-st square number.

10292938644121 is the 1604131-st centered octagonal number.

It is an amenable number.

10292938644121 is a deficient number, since it is larger than the sum of its proper divisors (1680505903100).

10292938644121 is an frugal number, since it uses more digits than its factorization.

10292938644121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916660 (or 458330 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 10292938644121 in words is "ten trillion, two hundred ninety-two billion, nine hundred thirty-eight million, six hundred forty-four thousand, one hundred twenty-one".