101022110110100 has 36 divisors (see below), whose sum is σ = 232113154174524. Its totient is φ = 38031853217280.

The previous prime is 101022110110067. The next prime is 101022110110109. The reversal of 101022110110100 is 1011011220101.

It can be written as a sum of positive squares in 6 ways, for example, as 7538659818244 + 93483450291856 = 2745662^2 + 9668684^2 .

It is a super-3 number, since 3×101022110110100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022110110109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29712383627 + ... + 29712387026.

It is an arithmetic number, because the mean of its divisors is an integer number (6447587615959).

Almost surely, 2^{101022110110100} is an apocalyptic number.

101022110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022110110100 is an abundant number, since it is smaller than the sum of its proper divisors (131091044064424).

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

101022110110100 is a wasteful number, since it uses less digits than its factorization.

101022110110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59424770684 (or 59424770677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101022110110100 its reverse (1011011220101), we get a palindrome (102033121330201).

The spelling of 101022110110100 in words is "one hundred one trillion, twenty-two billion, one hundred ten million, one hundred ten thousand, one hundred".