10102122120101 has 8 divisors (see below), whose sum is σ = 11668761379584. Its totient is φ = 8643526947520.

The previous prime is 10102122120091. The next prime is 10102122120109.

10102122120101 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102122120101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102122120109) 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, 27011021525 + ... + 27011021898.

It is an arithmetic number, because the mean of its divisors is an integer number (1458595172448).

Almost surely, 2^{10102122120101} is an apocalyptic number.

10102122120101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102122120101 is a deficient number, since it is larger than the sum of its proper divisors (1566639259483).

10102122120101 is a wasteful number, since it uses less digits than its factorization.

10102122120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54022043451.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 1010212 and 2120101, that added together give a palindrome (3130313).

The spelling of 10102122120101 in words is "ten trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred one".