101220111010100 has 72 divisors (see below), whose sum is σ = 220644968052600. Its totient is φ = 40304614336000.

The previous prime is 101220111010087. The next prime is 101220111010103. The reversal of 101220111010100 is 1010111022101.

It can be written as a sum of positive squares in 12 ways, for example, as 42553886475556 + 58666224534544 = 6523334^2 + 7659388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220111010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17244050 + ... + 22356150.

It is an arithmetic number, because the mean of its divisors is an integer number (3064513445175).

Almost surely, 2^{101220111010100} is an apocalyptic number.

101220111010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220111010100 is an abundant number, since it is smaller than the sum of its proper divisors (119424857042500).

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

101220111010100 is a wasteful number, since it uses less digits than its factorization.

101220111010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113013 (or 5113006 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101220111010100 its reverse (1010111022101), we get a palindrome (102230222032201).

The spelling of 101220111010100 in words is "one hundred one trillion, two hundred twenty billion, one hundred eleven million, ten thousand, one hundred".