101200201122100 has 36 divisors (see below), whose sum is σ = 219605078586348. Its totient is φ = 40479962080000.

The previous prime is 101200201122091. The next prime is 101200201122103. The reversal of 101200201122100 is 1221102002101.

101200201122100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1582674705936 + 99617526416164 = 1258044^2 + 9980858^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200201122103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38177790 + ... + 40742410.

It is an arithmetic number, because the mean of its divisors is an integer number (6100141071843).

Almost surely, 2^{101200201122100} is an apocalyptic number.

101200201122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200201122100 is an abundant number, since it is smaller than the sum of its proper divisors (118404877464248).

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

101200201122100 is a wasteful number, since it uses less digits than its factorization.

101200201122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959236 (or 2959229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101200201122100 its reverse (1221102002101), we get a palindrome (102421303124201).

The spelling of 101200201122100 in words is "one hundred one trillion, two hundred billion, two hundred one million, one hundred twenty-two thousand, one hundred".