102121100121001 has 4 divisors (see below), whose sum is σ = 109976569361092. Its totient is φ = 94265630880912.

The previous prime is 102121100120989. The next prime is 102121100121011. The reversal of 102121100121001 is 100121001121201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34566180248601 + 67554919872400 = 5879301^2 + 8219180^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121100121001 - 2⁵ = 102121100120969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 7855469240077 = 102121100121001 / (1 + 0 + 2 + 1 + 2 + 1 + 1 + 0 + 0 + 1 + 2 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102121100121011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3927734620026 + ... + 3927734620051.

It is an arithmetic number, because the mean of its divisors is an integer number (27494142340273).

Almost surely, 2^{102121100121001} is an apocalyptic number.

It is an amenable number.

102121100121001 is a deficient number, since it is larger than the sum of its proper divisors (7855469240091).

102121100121001 is an equidigital number, since it uses as much as digits as its factorization.

102121100121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7855469240090.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102121100121001 its reverse (100121001121201), we get a palindrome (202242101242202).

The spelling of 102121100121001 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-one thousand, one".