102001002210121 has 12 divisors (see below), whose sum is σ = 118666854416388. Its totient is φ = 87420126098592.

The previous prime is 102001002210097. The next prime is 102001002210209. The reversal of 102001002210121 is 121012200100201.

It can be written as a sum of positive squares in 2 ways, for example, as 47001513735225 + 54999488474896 = 6855765^2 + 7416164^2 .

It is not a de Polignac number, because 102001002210121 - 2¹³ = 102001002201929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102001005210121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110301126 + ... + 111222031.

It is an arithmetic number, because the mean of its divisors is an integer number (9888904534699).

Almost surely, 2^{102001002210121} is an apocalyptic number.

It is an amenable number.

102001002210121 is a deficient number, since it is larger than the sum of its proper divisors (16665852206267).

102001002210121 is an equidigital number, since it uses as much as digits as its factorization.

102001002210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221532568 (or 221532561 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102001002210121 its reverse (121012200100201), we get a palindrome (223013202310322).

The spelling of 102001002210121 in words is "one hundred two trillion, one billion, two million, two hundred ten thousand, one hundred twenty-one".