102001210202001 has 96 divisors (see below), whose sum is σ = 160605497364480. Its totient is φ = 57331676413440.

The previous prime is 102001210201993. The next prime is 102001210202009. The reversal of 102001210202001 is 100202012100201.

It is an interprime number because it is at equal distance from previous prime (102001210201993) and next prime (102001210202009).

It is not a de Polignac number, because 102001210202001 - 2³ = 102001210201993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102001210202009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245009046 + ... + 245425008.

It is an arithmetic number, because the mean of its divisors is an integer number (1672973930880).

Almost surely, 2^{102001210202001} is an apocalyptic number.

102001210202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102001210202001 is a deficient number, since it is larger than the sum of its proper divisors (58604287162479).

102001210202001 is a wasteful number, since it uses less digits than its factorization.

102001210202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416587 (or 416576 counting only the distinct ones).

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

Adding to 102001210202001 its reverse (100202012100201), we get a palindrome (202203222302202).

The spelling of 102001210202001 in words is "one hundred two trillion, one billion, two hundred ten million, two hundred two thousand, one".