1010111012100 has 216 divisors, whose sum is σ = 3176011430592. Its totient is φ = 268524460800.

The previous prime is 1010111012089. The next prime is 1010111012117. The reversal of 1010111012100 is 12101110101.

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

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, 596638854 + ... + 596640546.

Almost surely, 2^{1010111012100} is an apocalyptic number.

1010111012100 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 1010111012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588005715296).

1010111012100 is an abundant number, since it is smaller than the sum of its proper divisors (2165900418492).

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

1010111012100 is a wasteful number, since it uses less digits than its factorization.

1010111012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010111012100 its reverse (12101110101), we get a palindrome (1022212122201).

It can be divided in two parts, 101011 and 1012100, that added together give a palindrome (1113111).

The spelling of 1010111012100 in words is "one trillion, ten billion, one hundred eleven million, twelve thousand, one hundred".