10100111221002 has 192 divisors, whose sum is σ = 23375373299712. Its totient is φ = 2903355417600.

The previous prime is 10100111220967. The next prime is 10100111221019. The reversal of 10100111221002 is 20012211100101.

It is a super-3 number, since 3×10100111221002³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2959304248 + ... + 2959307660.

It is an arithmetic number, because the mean of its divisors is an integer number (121746735936).

Almost surely, 2^{10100111221002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100111221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11687686649856).

10100111221002 is an abundant number, since it is smaller than the sum of its proper divisors (13275262078710).

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

10100111221002 is a wasteful number, since it uses less digits than its factorization.

10100111221002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100111221002 its reverse (20012211100101), we get a palindrome (30112322321103).

The spelling of 10100111221002 in words is "ten trillion, one hundred billion, one hundred eleven million, two hundred twenty-one thousand, two".