21211142011400 has 96 divisors (see below), whose sum is σ = 53807385883680. Its totient is φ = 7711964544000.

The previous prime is 21211142011379. The next prime is 21211142011457. The reversal of 21211142011400 is 411024111212.

It is a super-3 number, since 3×21211142011400³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13736435 + ... + 15202365.

It is an arithmetic number, because the mean of its divisors is an integer number (560493602955).

Almost surely, 2^{21211142011400} is an apocalyptic number.

21211142011400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211142011400 is an abundant number, since it is smaller than the sum of its proper divisors (32596243872280).

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

21211142011400 is a wasteful number, since it uses less digits than its factorization.

21211142011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472535 (or 1472526 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21211142011400 its reverse (411024111212), we get a palindrome (21622166122612).

The spelling of 21211142011400 in words is "twenty-one trillion, two hundred eleven billion, one hundred forty-two million, eleven thousand, four hundred".