101200020001002 has 128 divisors (see below), whose sum is σ = 255406070304000. Its totient is φ = 29445070959360.

The previous prime is 101200020000967. The next prime is 101200020001057. The reversal of 101200020001002 is 200100020002101.

101200020001002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203524 + ... + 14228192.

It is an arithmetic number, because the mean of its divisors is an integer number (1995359924250).

Almost surely, 2^{101200020001002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200020001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127703035152000).

101200020001002 is an abundant number, since it is smaller than the sum of its proper divisors (154206050302998).

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

101200020001002 is a wasteful number, since it uses less digits than its factorization.

101200020001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14025253 (or 14025247 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101200020001002 its reverse (200100020002101), we get a palindrome (301300040003103).

The spelling of 101200020001002 in words is "one hundred one trillion, two hundred billion, twenty million, one thousand, two".