214222014101000 has 128 divisors (see below), whose sum is σ = 503358147452160. Its totient is φ = 85333653504000.

The previous prime is 214222014100979. The next prime is 214222014101059. The reversal of 214222014101000 is 101410222412.

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 31 ways as a sum of consecutive naturals, for example, 1028666885 + ... + 1028875115.

It is an arithmetic number, because the mean of its divisors is an integer number (3932485526970).

Almost surely, 2^{214222014101000} is an apocalyptic number.

214222014101000 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 214222014101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251679073726080).

214222014101000 is an abundant number, since it is smaller than the sum of its proper divisors (289136133351160).

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

214222014101000 is a wasteful number, since it uses less digits than its factorization.

214222014101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212512 (or 212498 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 214222014101000 its reverse (101410222412), we get a palindrome (214323424323412).

The spelling of 214222014101000 in words is "two hundred fourteen trillion, two hundred twenty-two billion, fourteen million, one hundred one thousand".