101011110222100 has 72 divisors (see below), whose sum is σ = 236057366561240. Its totient is φ = 37296066746880.

The previous prime is 101011110222097. The next prime is 101011110222133. The reversal of 101011110222100 is 1222011110101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 75069262719504 + 25941847502596 = 8664252^2 + 5093314^2 .

It is a super-2 number, since 2×101011110222100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173479054 + ... + 174060346.

Almost surely, 2^{101011110222100} is an apocalyptic number.

101011110222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011110222100 is an abundant number, since it is smaller than the sum of its proper divisors (135046256339140).

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

101011110222100 is a wasteful number, since it uses less digits than its factorization.

101011110222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714989 (or 714982 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101011110222100 its reverse (1222011110101), we get a palindrome (102233121332201).

The spelling of 101011110222100 in words is "one hundred one trillion, eleven billion, one hundred ten million, two hundred twenty-two thousand, one hundred".