10100110000122 has 24 divisors (see below), whose sum is σ = 21919039392276. Its totient is φ = 3361246760256.

The previous prime is 10100110000087. The next prime is 10100110000157. The reversal of 10100110000122 is 22100001100101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100110000087) and next prime (10100110000157).

It can be written as a sum of positive squares in 2 ways, for example, as 8002273511241 + 2097836488881 = 2828829^2 + 1448391^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454703013 + ... + 454725224.

Almost surely, 2^{10100110000122} is an apocalyptic number.

10100110000122 is an abundant number, since it is smaller than the sum of its proper divisors (11818929392154).

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

10100110000122 is a wasteful number, since it uses less digits than its factorization.

10100110000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909428862 (or 909428859 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100110000122 its reverse (22100001100101), we get a palindrome (32200111100223).

The spelling of 10100110000122 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred twenty-two", and thus it is an aban number.