10100001122100 has 108 divisors (see below), whose sum is σ = 32513511226924. Its totient is φ = 2620540823040.

The previous prime is 10100001122083. The next prime is 10100001122129. The reversal of 10100001122100 is 122110000101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 238868742564 + 9861132379536 = 488742^2 + 3140244^2 .

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 35 ways as a sum of consecutive naturals, for example, 151618369 + ... + 151684968.

Almost surely, 2^{10100001122100} is an apocalyptic number.

10100001122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100001122100 is an abundant number, since it is smaller than the sum of its proper divisors (22413510104824).

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

10100001122100 is a wasteful number, since it uses less digits than its factorization.

10100001122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303303394 (or 303303384 counting only the distinct ones).

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

Adding to 10100001122100 its reverse (122110000101), we get a palindrome (10222111122201).

The spelling of 10100001122100 in words is "ten trillion, one hundred billion, one million, one hundred twenty-two thousand, one hundred".