202111120101000 has 512 divisors, whose sum is σ = 728183661004800. Its totient is φ = 46206921600000.

The previous prime is 202111120100987. The next prime is 202111120101061. The reversal of 202111120101000 is 101021111202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38695275 + ... + 43606725.

It is an arithmetic number, because the mean of its divisors is an integer number (1422233712900).

Almost surely, 2^{202111120101000} is an apocalyptic number.

202111120101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202111120101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364091830502400).

202111120101000 is an abundant number, since it is smaller than the sum of its proper divisors (526072540903800).

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

202111120101000 is a wasteful number, since it uses less digits than its factorization.

202111120101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911558 (or 4911544 counting only the distinct ones).

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

Adding to 202111120101000 its reverse (101021111202), we get a palindrome (202212141212202).

The spelling of 202111120101000 in words is "two hundred two trillion, one hundred eleven billion, one hundred twenty million, one hundred one thousand".