101202001102001 has 24 divisors (see below), whose sum is σ = 110988856137216. Its totient is φ = 92189437044480.

The previous prime is 101202001101991. The next prime is 101202001102039. The reversal of 101202001102001 is 100201100202101.

It is not a de Polignac number, because 101202001102001 - 2¹⁸ = 101202000839857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101202001105001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22733351 + ... + 26818076.

It is an arithmetic number, because the mean of its divisors is an integer number (4624535672384).

Almost surely, 2^{101202001102001} is an apocalyptic number.

It is an amenable number.

101202001102001 is a deficient number, since it is larger than the sum of its proper divisors (9786855035215).

101202001102001 is a wasteful number, since it uses less digits than its factorization.

101202001102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49551689 (or 49551672 counting only the distinct ones).

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

Adding to 101202001102001 its reverse (100201100202101), we get a palindrome (201403101304102).

The spelling of 101202001102001 in words is "one hundred one trillion, two hundred two billion, one million, one hundred two thousand, one".