101111232100 has 18 divisors (see below), whose sum is σ = 219411373874. Its totient is φ = 40444492800.

The previous prime is 101111232071. The next prime is 101111232107. The reversal of 101111232100 is 1232111101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17757796 + 101093474304 = 4214^2 + 317952^2 .

It is not an unprimeable number, because it can be changed into a prime (101111232107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505556061 + ... + 505556260.

Almost surely, 2^101111232100 is an apocalyptic number.

101111232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111232100 is an abundant number, since it is smaller than the sum of its proper divisors (118300141774).

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

101111232100 is a wasteful number, since it uses less digits than its factorization.

101111232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011112335 (or 1011112328 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101111232100 its reverse (1232111101), we get a palindrome (102343343201).

The spelling of 101111232100 in words is "one hundred one billion, one hundred eleven million, two hundred thirty-two thousand, one hundred".