7890100100101 has 8 divisors (see below), whose sum is σ = 7905164275008. Its totient is φ = 7875049068000.

The previous prime is 7890100100093. The next prime is 7890100100173. The reversal of 7890100100101 is 1010010010987.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7890100100101 - 2³ = 7890100100093 is a prime.

It is a super-2 number, since 2×7890100100101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7890100100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7890100101101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2083465 + ... + 4485646.

It is an arithmetic number, because the mean of its divisors is an integer number (988145534376).

Almost surely, 2^{7890100100101} is an apocalyptic number.

It is an amenable number.

7890100100101 is a deficient number, since it is larger than the sum of its proper divisors (15064174907).

7890100100101 is a wasteful number, since it uses less digits than its factorization.

7890100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6571403.

The product of its (nonzero) digits is 504, while the sum is 28.

The spelling of 7890100100101 in words is "seven trillion, eight hundred ninety billion, one hundred million, one hundred thousand, one hundred one".