10210100201001 has 24 divisors (see below), whose sum is σ = 14888313128520. Its totient is φ = 6742230333696.

The previous prime is 10210100200981. The next prime is 10210100201111. The reversal of 10210100201001 is 10010200101201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2455551680400 + 7754548520601 = 1567020^2 + 2784699^2 .

It is not a de Polignac number, because 10210100201001 - 2¹¹ = 10210100198953 is a prime.

It is a super-2 number, since 2×10210100201001² (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 (10210100201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11769916 + ... + 12607581.

It is an arithmetic number, because the mean of its divisors is an integer number (620346380355).

Almost surely, 2^{10210100201001} is an apocalyptic number.

It is an amenable number.

10210100201001 is a deficient number, since it is larger than the sum of its proper divisors (4678212927519).

10210100201001 is a wasteful number, since it uses less digits than its factorization.

10210100201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24377945 (or 24377942 counting only the distinct ones).

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

Adding to 10210100201001 its reverse (10010200101201), we get a palindrome (20220300302202).

The spelling of 10210100201001 in words is "ten trillion, two hundred ten billion, one hundred million, two hundred one thousand, one".