122101202201121 has 48 divisors (see below), whose sum is σ = 207387541233600. Its totient is φ = 68247210648960.

The previous prime is 122101202201081. The next prime is 122101202201137. The reversal of 122101202201121 is 121102202101221.

122101202201121 is a `hidden beast` number, since 1 + 2 + 210 + 120 + 220 + 112 + 1 = 666.

It is not a de Polignac number, because 122101202201121 - 2¹⁴ = 122101202184737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122101202201094 and 122101202201103.

It is not an unprimeable number, because it can be changed into a prime (122101202201821) 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, 41030071 + ... + 43905228.

It is an arithmetic number, because the mean of its divisors is an integer number (4320573775700).

Almost surely, 2^{122101202201121} is an apocalyptic number.

122101202201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101202201121 is a deficient number, since it is larger than the sum of its proper divisors (85286339032479).

122101202201121 is a wasteful number, since it uses less digits than its factorization.

122101202201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84936446 (or 84936443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122101202201121 its reverse (121102202101221), we get a palindrome (243203404302342).

The spelling of 122101202201121 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred two million, two hundred one thousand, one hundred twenty-one".