20211000011202 has 256 divisors, whose sum is σ = 56291671166976. Its totient is φ = 4668140160000.

The previous prime is 20211000011177. The next prime is 20211000011203.

20211000011202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20211000011203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21994177 + ... + 22894667.

It is an arithmetic number, because the mean of its divisors is an integer number (219889340496).

Almost surely, 2^{20211000011202} is an apocalyptic number.

20211000011202 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 20211000011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28145835583488).

20211000011202 is an abundant number, since it is smaller than the sum of its proper divisors (36080671155774).

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

20211000011202 is a wasteful number, since it uses less digits than its factorization.

20211000011202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900665.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 202110000 and 11202, that added together give a palindrome (202121202).

The spelling of 20211000011202 in words is "twenty trillion, two hundred eleven billion, eleven thousand, two hundred two".