10102201201001 has 48 divisors (see below), whose sum is σ = 12849146513280. Its totient is φ = 7870738740480.

The previous prime is 10102201200991. The next prime is 10102201201003. The reversal of 10102201201001 is 10010210220101.

It is not a de Polignac number, because 10102201201001 - 2¹⁸ = 10102200938857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102201201003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119074685 + ... + 119159493.

It is an arithmetic number, because the mean of its divisors is an integer number (267690552360).

Almost surely, 2^{10102201201001} is an apocalyptic number.

It is an amenable number.

10102201201001 is a deficient number, since it is larger than the sum of its proper divisors (2746945312279).

10102201201001 is a wasteful number, since it uses less digits than its factorization.

10102201201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87694 (or 87687 counting only the distinct ones).

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

Adding to 10102201201001 its reverse (10010210220101), we get a palindrome (20112411421102).

The spelling of 10102201201001 in words is "ten trillion, one hundred two billion, two hundred one million, two hundred one thousand, one".