20212111121202 has 864 divisors, whose sum is σ = 62058068564544. Its totient is φ = 4695739776000.

The previous prime is 20212111121197. The next prime is 20212111121207.

20212111121202 is a `hidden beast` number, since 20 + 212 + 111 + 121 + 202 = 666.

20212111121202 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (20212111121197) and next prime (20212111121207).

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

It is not an unprimeable number, because it can be changed into a prime (20212111121207) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 19231313577 + ... + 19231314627.

It is an arithmetic number, because the mean of its divisors is an integer number (71826468246).

Almost surely, 2^{20212111121202} is an apocalyptic number.

20212111121202 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 20212111121202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31029034282272).

20212111121202 is an abundant number, since it is smaller than the sum of its proper divisors (41845957443342).

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

20212111121202 is a wasteful number, since it uses less digits than its factorization.

20212111121202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2021211 and 1121202, that added together give a palindrome (3142413).

The spelling of 20212111121202 in words is "twenty trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, two hundred two".