10102122111001 has 4 divisors (see below), whose sum is σ = 10102129614900. Its totient is φ = 10102114607104.

The previous prime is 10102122110957. The next prime is 10102122111031. The reversal of 10102122111001 is 10011122120101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 8617864784400 + 1484257326601 = 2935620^2 + 1218301^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102122111001 - 2²⁷ = 10101987893273 is a prime.

It is a super-2 number, since 2×10102122111001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102122111031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1114636 + ... + 4631053.

It is an arithmetic number, because the mean of its divisors is an integer number (2525532403725).

Almost surely, 2^{10102122111001} is an apocalyptic number.

It is an amenable number.

10102122111001 is a deficient number, since it is larger than the sum of its proper divisors (7503899).

10102122111001 is an equidigital number, since it uses as much as digits as its factorization.

10102122111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503898.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10102122111001 its reverse (10011122120101), we get a palindrome (20113244231102).

It can be divided in two parts, 1010212 and 2111001, that added together give a palindrome (3121213).

The spelling of 10102122111001 in words is "ten trillion, one hundred two billion, one hundred twenty-two million, one hundred eleven thousand, one".