101228757630 has 512 divisors, whose sum is σ = 336530460672. Its totient is φ = 18811699200.

The previous prime is 101228757629. The next prime is 101228757647. The reversal of 101228757630 is 36757822101.

It is a super-2 number, since 2×101228757630² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

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, 133723212 + ... + 133723968.

It is an arithmetic number, because the mean of its divisors is an integer number (657286056).

Almost surely, 2^101228757630 is an apocalyptic number.

101228757630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101228757630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168265230336).

101228757630 is an abundant number, since it is smaller than the sum of its proper divisors (235301703042).

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

101228757630 is a wasteful number, since it uses less digits than its factorization.

101228757630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932.

The product of its (nonzero) digits is 141120, while the sum is 42.

It can be divided in two parts, 101228 and 757630, that added together give a palindrome (858858).

The spelling of 101228757630 in words is "one hundred one billion, two hundred twenty-eight million, seven hundred fifty-seven thousand, six hundred thirty".