10202121120121 has 32 divisors (see below), whose sum is σ = 11891770894080. Its totient is φ = 8572289273856.

The previous prime is 10202121120053. The next prime is 10202121120131. The reversal of 10202121120121 is 12102112120201.

It is a de Polignac number, because none of the positive numbers 2^k-10202121120121 is a prime.

It is a super-2 number, since 2×10202121120121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202121120095 and 10202121120104.

It is not an unprimeable number, because it can be changed into a prime (10202121120131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241032666 + ... + 241074988.

It is an arithmetic number, because the mean of its divisors is an integer number (371617840440).

Almost surely, 2^{10202121120121} is an apocalyptic number.

It is an amenable number.

10202121120121 is a deficient number, since it is larger than the sum of its proper divisors (1689649773959).

10202121120121 is a wasteful number, since it uses less digits than its factorization.

10202121120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45793.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10202121120121 its reverse (12102112120201), we get a palindrome (22304233240322).

The spelling of 10202121120121 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".