202101202121 has 48 divisors (see below), whose sum is σ = 259698534480. Its totient is φ = 155836638720.

The previous prime is 202101202081. The next prime is 202101202123. The reversal of 202101202121 is 121202101202.

It can be written as a sum of positive squares in 8 ways, for example, as 48173665225 + 153927536896 = 219485^2 + 392336^2 .

It is a de Polignac number, because none of the positive numbers 2^k-202101202121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202101202096 and 202101202105.

It is not an unprimeable number, because it can be changed into a prime (202101202123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4211555 + ... + 4259271.

It is an arithmetic number, because the mean of its divisors is an integer number (5410386135).

Almost surely, 2^202101202121 is an apocalyptic number.

It is an amenable number.

202101202121 is a deficient number, since it is larger than the sum of its proper divisors (57597332359).

202101202121 is a wasteful number, since it uses less digits than its factorization.

202101202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47914 (or 47907 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202101202121 its reverse (121202101202), we get a palindrome (323303303323).

It can be divided in two parts, 202101202 and 121, that multiplied together give a palindrome (24454245442).

The spelling of 202101202121 in words is "two hundred two billion, one hundred one million, two hundred two thousand, one hundred twenty-one".