100122777000 has 1024 divisors, whose sum is σ = 381061324800. Its totient is φ = 24261120000.

The previous prime is 100122776993. The next prime is 100122777019. The reversal of 100122777000 is 777221001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1641356970 + ... + 1641357030.

It is an arithmetic number, because the mean of its divisors is an integer number (372130200).

Almost surely, 2^100122777000 is an apocalyptic number.

100122777000 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 100122777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190530662400).

100122777000 is an abundant number, since it is smaller than the sum of its proper divisors (280938547800).

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

100122777000 is a wasteful number, since it uses less digits than its factorization.

100122777000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

Adding to 100122777000 its reverse (777221001), we get a palindrome (100899998001).

The spelling of 100122777000 in words is "one hundred billion, one hundred twenty-two million, seven hundred seventy-seven thousand".