101204222011400 has 192 divisors, whose sum is σ = 248705111318400. Its totient is φ = 38193062492160.

The previous prime is 101204222011367. The next prime is 101204222011427. The reversal of 101204222011400 is 4110222402101.

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 47 ways as a sum of consecutive naturals, for example, 3514875404 + ... + 3514904196.

It is an arithmetic number, because the mean of its divisors is an integer number (1295339121450).

Almost surely, 2^{101204222011400} is an apocalyptic number.

101204222011400 is a gapful number since it is divisible by the number (10) 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 101204222011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124352555659200).

101204222011400 is an abundant number, since it is smaller than the sum of its proper divisors (147500889307000).

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

101204222011400 is a wasteful number, since it uses less digits than its factorization.

101204222011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32608 (or 32599 counting only the distinct ones).

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

Adding to 101204222011400 its reverse (4110222402101), we get a palindrome (105314444413501).

The spelling of 101204222011400 in words is "one hundred one trillion, two hundred four billion, two hundred twenty-two million, eleven thousand, four hundred".