102202121000001 has 32 divisors (see below), whose sum is σ = 149579836213248. Its totient is φ = 61556585968640.

The previous prime is 102202120999973. The next prime is 102202121000009. The reversal of 102202121000001 is 100000121202201.

It is a cyclic number.

It is not a de Polignac number, because 102202121000001 - 2⁵ = 102202120999969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202121000009) 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, 23768620 + ... + 27737186.

It is an arithmetic number, because the mean of its divisors is an integer number (4674369881664).

Almost surely, 2^{102202121000001} is an apocalyptic number.

102202121000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202121000001 is a deficient number, since it is larger than the sum of its proper divisors (47377715213247).

102202121000001 is a wasteful number, since it uses less digits than its factorization.

102202121000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973421.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102202121000001 its reverse (100000121202201), we get a palindrome (202202242202202).

It can be divided in two parts, 1022021 and 21000001, that added together give a palindrome (22022022).

The spelling of 102202121000001 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-one million, one", and thus it is an aban number.