101229121224 has 256 divisors, whose sum is σ = 351483033600. Its totient is φ = 26225337600.

The previous prime is 101229121219. The next prime is 101229121249. The reversal of 101229121224 is 422121922101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6595239 + ... + 6610569.

It is an arithmetic number, because the mean of its divisors is an integer number (1372980600).

Almost surely, 2^101229121224 is an apocalyptic number.

101229121224 is a gapful number since it is divisible by the number (14) 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 101229121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175741516800).

101229121224 is an abundant number, since it is smaller than the sum of its proper divisors (250253912376).

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

101229121224 is a wasteful number, since it uses less digits than its factorization.

101229121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15761 (or 15751 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 101229121224 in words is "one hundred one billion, two hundred twenty-nine million, one hundred twenty-one thousand, two hundred twenty-four".