201022112001121 has 32 divisors (see below), whose sum is σ = 217760455842048. Its totient is φ = 184859490816000.

The previous prime is 201022112001103. The next prime is 201022112001133. The reversal of 201022112001121 is 121100211220102.

It is a cyclic number.

It is not a de Polignac number, because 201022112001121 - 2¹⁷ = 201022111870049 is a prime.

It is a super-4 number, since 4×201022112001121⁴ (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201022112001095 and 201022112001104.

It is not an unprimeable number, because it can be changed into a prime (201022112101121) 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, 1545224740 + ... + 1545354826.

It is an arithmetic number, because the mean of its divisors is an integer number (6805014245064).

Almost surely, 2^{201022112001121} is an apocalyptic number.

It is an amenable number.

201022112001121 is a deficient number, since it is larger than the sum of its proper divisors (16738343840927).

201022112001121 is a wasteful number, since it uses less digits than its factorization.

201022112001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137241.

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

Adding to 201022112001121 its reverse (121100211220102), we get a palindrome (322122323221223).

The spelling of 201022112001121 in words is "two hundred one trillion, twenty-two billion, one hundred twelve million, one thousand, one hundred twenty-one".