101012221100 has 108 divisors (see below), whose sum is σ = 266070251664. Its totient is φ = 33126952320.

The previous prime is 101012220949. The next prime is 101012221133. The reversal of 101012221100 is 1122210101.

101012221100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 335447 + ... + 560846.

Almost surely, 2^101012221100 is an apocalyptic number.

101012221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012221100 is an abundant number, since it is smaller than the sum of its proper divisors (165058030564).

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

101012221100 is a wasteful number, since it uses less digits than its factorization.

101012221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896344 (or 896330 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101012221100 its reverse (1122210101), we get a palindrome (102134431201).

The spelling of 101012221100 in words is "one hundred one billion, twelve million, two hundred twenty-one thousand, one hundred".