101201002001 has 4 divisors (see below), whose sum is σ = 110401093104. Its totient is φ = 92000910900.

The previous prime is 101201001977. The next prime is 101201002037. The reversal of 101201002001 is 100200102101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101201002001 - 2³⁴ = 84021132817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101201002001.

It is not an unprimeable number, because it can be changed into a prime (101201002061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4600045535 + ... + 4600045556.

It is an arithmetic number, because the mean of its divisors is an integer number (27600273276).

Almost surely, 2^101201002001 is an apocalyptic number.

101201002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201002001 is a deficient number, since it is larger than the sum of its proper divisors (9200091103).

101201002001 is an equidigital number, since it uses as much as digits as its factorization.

101201002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9200091102.

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

Adding to 101201002001 its reverse (100200102101), we get a palindrome (201401104102).

It can be divided in two parts, 10120100 and 2001, that added together give a palindrome (10122101).

The spelling of 101201002001 in words is "one hundred one billion, two hundred one million, two thousand, one".