10200010121001 has 12 divisors (see below), whose sum is σ = 15600015479412. Its totient is φ = 6400006350336.

The previous prime is 10200010120973. The next prime is 10200010121023. The reversal of 10200010121001 is 10012101000201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9598223610000 + 601786511001 = 3098100^2 + 775749^2 .

It is not a de Polignac number, because 10200010121001 - 2⁵ = 10200010120969 is a prime.

It is a super-2 number, since 2×10200010121001² (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 (10200010121801) 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, 33333366256 + ... + 33333366561.

It is an arithmetic number, because the mean of its divisors is an integer number (1300001289951).

Almost surely, 2^{10200010121001} is an apocalyptic number.

It is an amenable number.

10200010121001 is a deficient number, since it is larger than the sum of its proper divisors (5400005358411).

10200010121001 is a wasteful number, since it uses less digits than its factorization.

10200010121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66666732840 (or 66666732837 counting only the distinct ones).

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

Adding to 10200010121001 its reverse (10012101000201), we get a palindrome (20212111121202).

The spelling of 10200010121001 in words is "ten trillion, two hundred billion, ten million, one hundred twenty-one thousand, one".