10100101122 has 48 divisors (see below), whose sum is σ = 22636897920. Its totient is φ = 3252112416.

The previous prime is 10100101117. The next prime is 10100101163. The reversal of 10100101122 is 22110100101.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 38023 + ... + 147125.

It is an arithmetic number, because the mean of its divisors is an integer number (471602040).

Almost surely, 2^10100101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11318448960).

10100101122 is an abundant number, since it is smaller than the sum of its proper divisors (12536796798).

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

10100101122 is a wasteful number, since it uses less digits than its factorization.

10100101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109287 (or 109284 counting only the distinct ones).

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

Adding to 10100101122 its reverse (22110100101), we get a palindrome (32210201223).

The spelling of 10100101122 in words is "ten billion, one hundred million, one hundred one thousand, one hundred twenty-two".