10102100210001 has 12 divisors (see below), whose sum is σ = 14617840690128. Its totient is φ = 6722771243544.

The previous prime is 10102100209973. The next prime is 10102100210023. The reversal of 10102100210001 is 10001200120101.

It is a happy number.

It is not a de Polignac number, because 10102100210001 - 2¹⁸ = 10102099947857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10102100210051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 996847135 + ... + 996857268.

It is an arithmetic number, because the mean of its divisors is an integer number (1218153390844).

Almost surely, 2^{10102100210001} is an apocalyptic number.

It is an amenable number.

10102100210001 is a deficient number, since it is larger than the sum of its proper divisors (4515740480127).

10102100210001 is a wasteful number, since it uses less digits than its factorization.

10102100210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993704972 (or 1993704969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10102100210001 its reverse (10001200120101), we get a palindrome (20103300330102).

The spelling of 10102100210001 in words is "ten trillion, one hundred two billion, one hundred million, two hundred ten thousand, one".