2111010211002 has 128 divisors (see below), whose sum is σ = 5326583205888. Its totient is φ = 541794355200.

The previous prime is 2111010210989. The next prime is 2111010211021. The reversal of 2111010211002 is 2001120101112.

It is a super-2 number, since 2×2111010211002² (a number of 25 digits) contains 22 as substring.

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, 28240308 + ... + 28314960.

It is an arithmetic number, because the mean of its divisors is an integer number (41613931296).

Almost surely, 2^{2111010211002} is an apocalyptic number.

2111010211002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111010211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663291602944).

2111010211002 is an abundant number, since it is smaller than the sum of its proper divisors (3215572994886).

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

2111010211002 is a wasteful number, since it uses less digits than its factorization.

2111010211002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75404.

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

Adding to 2111010211002 its reverse (2001120101112), we get a palindrome (4112130312114).

The spelling of 2111010211002 in words is "two trillion, one hundred eleven billion, ten million, two hundred eleven thousand, two".