101201002120001 has 16 divisors (see below), whose sum is σ = 115895794575360. Its totient is φ = 86565592224720.

The previous prime is 101201002119949. The next prime is 101201002120081. The reversal of 101201002120001 is 100021200102101.

It is a de Polignac number, because none of the positive numbers 2^k-101201002120001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201002120081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237170120 + ... + 237596438.

It is an arithmetic number, because the mean of its divisors is an integer number (7243487160960).

Almost surely, 2^{101201002120001} is an apocalyptic number.

It is an amenable number.

101201002120001 is a deficient number, since it is larger than the sum of its proper divisors (14694792455359).

101201002120001 is an equidigital number, since it uses as much as digits as its factorization.

101201002120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495884.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101201002120001 its reverse (100021200102101), we get a palindrome (201222202222102).

The spelling of 101201002120001 in words is "one hundred one trillion, two hundred one billion, two million, one hundred twenty thousand, one".