10122120110102 has 96 divisors (see below), whose sum is σ = 21970420002720. Its totient is φ = 3426186193920.

The previous prime is 10122120110101. The next prime is 10122120110111. The reversal of 10122120110102 is 20101102122101.

10122120110102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10122120110102³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122120110101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21005477 + ... + 21481952.

It is an arithmetic number, because the mean of its divisors is an integer number (228858541695).

Almost surely, 2^{10122120110102} is an apocalyptic number.

10122120110102 is an abundant number, since it is smaller than the sum of its proper divisors (11848299892618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10122120110102 is a wasteful number, since it uses less digits than its factorization.

10122120110102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42487486 (or 42487479 counting only the distinct ones).

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

Adding to 10122120110102 its reverse (20101102122101), we get a palindrome (30223222232203).

The spelling of 10122120110102 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred ten thousand, one hundred two".