101014422120200 has 48 divisors (see below), whose sum is σ = 248673739168980. Its totient is φ = 38028958914560.

The previous prime is 101014422120187. The next prime is 101014422120229. The reversal of 101014422120200 is 2021224410101.

It can be written as a sum of positive squares in 6 ways, for example, as 43763014391044 + 57251407729156 = 6615362^2 + 7566466^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14855058677 + ... + 14855065476.

Almost surely, 2^{101014422120200} is an apocalyptic number.

101014422120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101014422120200 is an abundant number, since it is smaller than the sum of its proper divisors (147659317048780).

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

101014422120200 is a wasteful number, since it uses less digits than its factorization.

101014422120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29710124186 (or 29710124177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101014422120200 its reverse (2021224410101), we get a palindrome (103035646530301).

The spelling of 101014422120200 in words is "one hundred one trillion, fourteen billion, four hundred twenty-two million, one hundred twenty thousand, two hundred".