101110100022100 has 36 divisors (see below), whose sum is σ = 236286526054684. Its totient is φ = 37332960007680.

The previous prime is 101110100022089. The next prime is 101110100022121. The reversal of 101110100022100 is 1220001011101.

It can be written as a sum of positive squares in 6 ways, for example, as 2045780974864 + 99064319047236 = 1430308^2 + 9953106^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 38888498709 + ... + 38888501308.

Almost surely, 2^{101110100022100} is an apocalyptic number.

101110100022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110100022100 is an abundant number, since it is smaller than the sum of its proper divisors (135176426032584).

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

101110100022100 is a wasteful number, since it uses less digits than its factorization.

101110100022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77777000044 (or 77777000037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101110100022100 its reverse (1220001011101), we get a palindrome (102330101033201).

The spelling of 101110100022100 in words is "one hundred one trillion, one hundred ten billion, one hundred million, twenty-two thousand, one hundred".