1011002202100 has 108 divisors (see below), whose sum is σ = 2494603421100. Its totient is φ = 354959897600.

The previous prime is 1011002202079. The next prime is 1011002202101. The reversal of 1011002202100 is 12022001101.

It can be written as a sum of positive squares in 6 ways, for example, as 3797270884 + 1007204931216 = 61622^2 + 1003596^2 .

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 (1011002202101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1089685 + ... + 1791484.

It is an arithmetic number, because the mean of its divisors is an integer number (23098179825).

Almost surely, 2^{1011002202100} is an apocalyptic number.

1011002202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011002202100 is an abundant number, since it is smaller than the sum of its proper divisors (1483601219000).

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

1011002202100 is a wasteful number, since it uses less digits than its factorization.

1011002202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881234 (or 2881216 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1011002202100 its reverse (12022001101), we get a palindrome (1023024203201).

The spelling of 1011002202100 in words is "one trillion, eleven billion, two million, two hundred two thousand, one hundred".