10110100022100 has 216 divisors, whose sum is σ = 34429219456632. Its totient is φ = 2466616320000.

The previous prime is 10110100022081. The next prime is 10110100022131. The reversal of 10110100022100 is 122000101101.

It is a happy number.

10110100022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4919932120464 + 5190167901636 = 2218092^2 + 2278194^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2501401 + ... + 5145600.

Almost surely, 2^{10110100022100} is an apocalyptic number.

10110100022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110100022100 is an abundant number, since it is smaller than the sum of its proper divisors (24319119434532).

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

10110100022100 is a wasteful number, since it uses less digits than its factorization.

10110100022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7647147 (or 7647137 counting only the distinct ones).

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

Adding to 10110100022100 its reverse (122000101101), we get a palindrome (10232100123201).

The spelling of 10110100022100 in words is "ten trillion, one hundred ten billion, one hundred million, twenty-two thousand, one hundred".