101120100202001 has 16 divisors (see below), whose sum is σ = 107423307883008. Its totient is φ = 94856848416000.

The previous prime is 101120100201979. The next prime is 101120100202021. The reversal of 101120100202001 is 100202001021101.

It is a cyclic number.

It is not a de Polignac number, because 101120100202001 - 2⁶ = 101120100201937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101120100202021) 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, 1767425 + ... + 14330526.

It is an arithmetic number, because the mean of its divisors is an integer number (6713956742688).

Almost surely, 2^{101120100202001} is an apocalyptic number.

It is an amenable number.

101120100202001 is a deficient number, since it is larger than the sum of its proper divisors (6303207681007).

101120100202001 is a wasteful number, since it uses less digits than its factorization.

101120100202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16099192.

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

Adding to 101120100202001 its reverse (100202001021101), we get a palindrome (201322101223102).

The spelling of 101120100202001 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, two hundred two thousand, one".