201122034401400 has 192 divisors, whose sum is σ = 716238590534400. Its totient is φ = 45732560117760.

The previous prime is 201122034401341. The next prime is 201122034401467. The reversal of 201122034401400 is 4104430221102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123246910 + ... + 124868109.

It is an arithmetic number, because the mean of its divisors is an integer number (3730409325700).

Almost surely, 2^{201122034401400} is an apocalyptic number.

201122034401400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122034401400 is an abundant number, since it is smaller than the sum of its proper divisors (515116556133000).

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

201122034401400 is a wasteful number, since it uses less digits than its factorization.

201122034401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248115238 (or 248115229 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201122034401400 its reverse (4104430221102), we get a palindrome (205226464622502).

The spelling of 201122034401400 in words is "two hundred one trillion, one hundred twenty-two billion, thirty-four million, four hundred one thousand, four hundred".