2002111200090 has 256 divisors, whose sum is σ = 5513656780800. Its totient is φ = 516657254400.

The previous prime is 2002111200059. The next prime is 2002111200109. The reversal of 2002111200090 is 900021112002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 743448784 + ... + 743451476.

It is an arithmetic number, because the mean of its divisors is an integer number (21537721800).

Almost surely, 2^{2002111200090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002111200090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756828390400).

2002111200090 is an abundant number, since it is smaller than the sum of its proper divisors (3511545580710).

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

2002111200090 is a wasteful number, since it uses less digits than its factorization.

2002111200090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2002111200090 its reverse (900021112002), we get a palindrome (2902132312092).

It can be divided in two parts, 200211 and 1200090, that added together give a triangular number (1400301 = T₁₆₇₃).

The spelling of 2002111200090 in words is "two trillion, two billion, one hundred eleven million, two hundred thousand, ninety".