10102120111122 has 128 divisors (see below), whose sum is σ = 22390343958528. Its totient is φ = 3018776947200.

The previous prime is 10102120111103. The next prime is 10102120111183. The reversal of 10102120111122 is 22111102120101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1184717223 + ... + 1184725749.

It is an arithmetic number, because the mean of its divisors is an integer number (174924562176).

Almost surely, 2^{10102120111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102120111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195171979264).

10102120111122 is an abundant number, since it is smaller than the sum of its proper divisors (12288223847406).

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

10102120111122 is a wasteful number, since it uses less digits than its factorization.

10102120111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10224.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10102120111122 its reverse (22111102120101), we get a palindrome (32213222231223).

The spelling of 10102120111122 in words is "ten trillion, one hundred two billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty-two".