1011012201100 has 72 divisors (see below), whose sum is σ = 2394230853168. Its totient is φ = 367504204800.

The previous prime is 1011012201061. The next prime is 1011012201127. The reversal of 1011012201100 is 11022101101.

1011012201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1011012201100³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2814912 + ... + 3153688.

It is an arithmetic number, because the mean of its divisors is an integer number (33253206294).

Almost surely, 2^{1011012201100} is an apocalyptic number.

1011012201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011012201100 is an abundant number, since it is smaller than the sum of its proper divisors (1383218652068).

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

1011012201100 is a wasteful number, since it uses less digits than its factorization.

1011012201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341515 (or 341508 counting only the distinct ones).

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

Adding to 1011012201100 its reverse (11022101101), we get a palindrome (1022034302201).

Subtracting from 1011012201100 its reverse (11022101101), we obtain a palindrome (999990099999).

The spelling of 1011012201100 in words is "one trillion, eleven billion, twelve million, two hundred one thousand, one hundred".