2111022131400 has 1152 divisors, whose sum is σ = 9271169107200. Its totient is φ = 418386124800.

The previous prime is 2111022131381. The next prime is 2111022131417. The reversal of 2111022131400 is 41312201112.

2111022131400 is a `hidden beast` number, since 2 + 1 + 1 + 10 + 221 + 31 + 400 = 666.

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 287 ways as a sum of consecutive naturals, for example, 175751395 + ... + 175763405.

It is an arithmetic number, because the mean of its divisors is an integer number (8047889850).

Almost surely, 2^{2111022131400} is an apocalyptic number.

2111022131400 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 2111022131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635584553600).

2111022131400 is an abundant number, since it is smaller than the sum of its proper divisors (7160146975800).

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

2111022131400 is a wasteful number, since it uses less digits than its factorization.

2111022131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12119 (or 12107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2111022131400 its reverse (41312201112), we get a palindrome (2152334332512).

It can be divided in two parts, 2111022 and 131400, that added together give a palindrome (2242422).

The spelling of 2111022131400 in words is "two trillion, one hundred eleven billion, twenty-two million, one hundred thirty-one thousand, four hundred".