1012011102100 has 72 divisors (see below), whose sum is σ = 2292419525760. Its totient is φ = 387056503680.

The previous prime is 1012011102061. The next prime is 1012011102101. The reversal of 1012011102100 is 12011102101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012011102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6042286 + ... + 6207514.

It is an arithmetic number, because the mean of its divisors is an integer number (31839160080).

Almost surely, 2^{1012011102100} is an apocalyptic number.

1012011102100 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 1012011102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146209762880).

1012011102100 is an abundant number, since it is smaller than the sum of its proper divisors (1280408423660).

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

1012011102100 is a wasteful number, since it uses less digits than its factorization.

1012011102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167929 (or 167922 counting only the distinct ones).

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

Adding to 1012011102100 its reverse (12011102101), we get a palindrome (1024022204201).

Subtracting from 1012011102100 its reverse (12011102101), we obtain a palindrome (999999999999).

It can be divided in two parts, 1012011 and 102100, that added together give a palindrome (1114111).

The spelling of 1012011102100 in words is "one trillion, twelve billion, eleven million, one hundred two thousand, one hundred".