1010553112100 has 324 divisors, whose sum is σ = 2725082864784. Its totient is φ = 324237997440.

The previous prime is 1010553112099. The next prime is 1010553112133. The reversal of 1010553112100 is 12113550101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146815259 + ... + 146822141.

Almost surely, 2^{1010553112100} is an apocalyptic number.

1010553112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010553112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362541432392).

1010553112100 is an abundant number, since it is smaller than the sum of its proper divisors (1714529752684).

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

1010553112100 is a wasteful number, since it uses less digits than its factorization.

1010553112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 1010553112100 its reverse (12113550101), we get a palindrome (1022666662201).

The spelling of 1010553112100 in words is "one trillion, ten billion, five hundred fifty-three million, one hundred twelve thousand, one hundred".