102002002210101 has 64 divisors (see below), whose sum is σ = 157016986269696. Its totient is φ = 57695448096000.

The previous prime is 102002002210093. The next prime is 102002002210103. The reversal of 102002002210101 is 101012200200201.

It is not a de Polignac number, because 102002002210101 - 2³ = 102002002210093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002002210103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1419754486 + ... + 1419826328.

It is an arithmetic number, because the mean of its divisors is an integer number (2453390410464).

Almost surely, 2^{102002002210101} is an apocalyptic number.

It is an amenable number.

102002002210101 is a deficient number, since it is larger than the sum of its proper divisors (55014984059595).

102002002210101 is a wasteful number, since it uses less digits than its factorization.

102002002210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73642.

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

Adding to 102002002210101 its reverse (101012200200201), we get a palindrome (203014202410302).

The spelling of 102002002210101 in words is "one hundred two trillion, two billion, two million, two hundred ten thousand, one hundred one".