10101210002001 has 10 divisors (see below), whose sum is σ = 15089461854962. Its totient is φ = 6734140001280.

The previous prime is 10101210001997. The next prime is 10101210002029. The reversal of 10101210002001 is 10020001210101.

It is a happy number.

10101210002001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8216564267025 + 1884645734976 = 2866455^2 + 1372824^2 .

It is not a de Polignac number, because 10101210002001 - 2² = 10101210001997 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101210002201) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62353148080 + ... + 62353148241.

Almost surely, 2^{10101210002001} is an apocalyptic number.

It is an amenable number.

10101210002001 is a deficient number, since it is larger than the sum of its proper divisors (4988251852961).

10101210002001 is an equidigital number, since it uses as much as digits as its factorization.

10101210002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124706296333 (or 124706296324 counting only the distinct ones).

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

Adding to 10101210002001 its reverse (10020001210101), we get a palindrome (20121211212102).

The spelling of 10101210002001 in words is "ten trillion, one hundred one billion, two hundred ten million, two thousand, one".