10100210120001 has 12 divisors (see below), whose sum is σ = 14589773571412. Its totient is φ = 6733205178336.

The previous prime is 10100210119957. The next prime is 10100210120113. The reversal of 10100210120001 is 10002101200101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8024302598400 + 2075907521601 = 2832720^2 + 1440801^2 .

It is not a de Polignac number, because 10100210120001 - 2⁴¹ = 7901186864449 is a prime.

It is a super-2 number, since 2×10100210120001² (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 a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100210120801) 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, 22114306 + ... + 22566411.

Almost surely, 2^{10100210120001} is an apocalyptic number.

It is an amenable number.

10100210120001 is a deficient number, since it is larger than the sum of its proper divisors (4489563451411).

10100210120001 is a wasteful number, since it uses less digits than its factorization.

10100210120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44705840 (or 44705837 counting only the distinct ones).

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

Adding to 10100210120001 its reverse (10002101200101), we get a palindrome (20102311320102).

The spelling of 10100210120001 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred twenty thousand, one".