10101201100002 has 72 divisors (see below), whose sum is σ = 23137811672976. Its totient is φ = 3184417614672.

The previous prime is 10101201099959. The next prime is 10101201100033. The reversal of 10101201100002 is 20000110210101.

It is a happy number.

It is a super-2 number, since 2×10101201100002² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2490213 + ... + 5138439.

It is an arithmetic number, because the mean of its divisors is an integer number (321358495458).

Almost surely, 2^{10101201100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101201100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11568905836488).

10101201100002 is an abundant number, since it is smaller than the sum of its proper divisors (13036610572974).

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

10101201100002 is a wasteful number, since it uses less digits than its factorization.

10101201100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648860 (or 2648838 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101201100002 its reverse (20000110210101), we get a palindrome (30101311310103).

The spelling of 10101201100002 in words is "ten trillion, one hundred one billion, two hundred one million, one hundred thousand, two".