10210100102001 has 48 divisors (see below), whose sum is σ = 15862793207040. Its totient is φ = 6307953062400.

The previous prime is 10210100101991. The next prime is 10210100102011. The reversal of 10210100102001 is 10020100101201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10210100101991) and next prime (10210100102011).

It is not a de Polignac number, because 10210100102001 - 2⁶ = 10210100101937 is a prime.

It is a super-2 number, since 2×10210100102001² (a number of 27 digits) contains 22 as substring.

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 (10210100102011) 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, 14944201 + ... + 15612473.

It is an arithmetic number, because the mean of its divisors is an integer number (330474858480).

Almost surely, 2^{10210100102001} is an apocalyptic number.

It is an amenable number.

10210100102001 is a deficient number, since it is larger than the sum of its proper divisors (5652693105039).

10210100102001 is a wasteful number, since it uses less digits than its factorization.

10210100102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670246 (or 670243 counting only the distinct ones).

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

Adding to 10210100102001 its reverse (10020100101201), we get a palindrome (20230200203202).

The spelling of 10210100102001 in words is "ten trillion, two hundred ten billion, one hundred million, one hundred two thousand, one".