101120011222100 has 72 divisors (see below), whose sum is σ = 236316553215288. Its totient is φ = 37335534796800.

The previous prime is 101120011222091. The next prime is 101120011222123. The reversal of 101120011222100 is 1222110021101.

It can be written as a sum of positive squares in 12 ways, for example, as 80886243967684 + 20233767254416 = 8993678^2 + 4498196^2 .

It is a congruent number.

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, 44336852 + ... + 46561748.

Almost surely, 2^{101120011222100} is an apocalyptic number.

101120011222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120011222100 is an abundant number, since it is smaller than the sum of its proper divisors (135196541993188).

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

101120011222100 is a wasteful number, since it uses less digits than its factorization.

101120011222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259885 (or 2259878 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101120011222100 its reverse (1222110021101), we get a palindrome (102342121243201).

The spelling of 101120011222100 in words is "one hundred one trillion, one hundred twenty billion, eleven million, two hundred twenty-two thousand, one hundred".