101200022121002 has 192 divisors, whose sum is σ = 190853552331936. Its totient is φ = 39978623139840.

The previous prime is 101200022121001. The next prime is 101200022121047. The reversal of 101200022121002 is 200121220002101.

It can be written as a sum of positive squares in 16 ways, for example, as 1508404005241 + 99691618115761 = 1228171^2 + 9984569^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101200022121001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34693184048 + ... + 34693186964.

Almost surely, 2^{101200022121002} is an apocalyptic number.

101200022121002 is a deficient number, since it is larger than the sum of its proper divisors (89653530210934).

101200022121002 is a wasteful number, since it uses less digits than its factorization.

101200022121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101200022121002 its reverse (200121220002101), we get a palindrome (301321242123103).

The spelling of 101200022121002 in words is "one hundred one trillion, two hundred billion, twenty-two million, one hundred twenty-one thousand, two".