102001100201 has 32 divisors (see below), whose sum is σ = 141370392576. Its totient is φ = 71000712000.

The previous prime is 102001100197. The next prime is 102001100209.

102001100201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102001100201 - 2² = 102001100197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102001100209) 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, 1612505 + ... + 1674566.

It is an arithmetic number, because the mean of its divisors is an integer number (4417824768).

Almost surely, 2^102001100201 is an apocalyptic number.

102001100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102001100201 is a deficient number, since it is larger than the sum of its proper divisors (39369292375).

102001100201 is a wasteful number, since it uses less digits than its factorization.

102001100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287133.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 102001 and 100201, that multiplied together give a palindrome (10220602201).

The spelling of 102001100201 in words is "one hundred two billion, one million, one hundred thousand, two hundred one".