101711429820 has 864 divisors, whose sum is σ = 420595628544. Its totient is φ = 19319040000.

The previous prime is 101711429803. The next prime is 101711429843. The reversal of 101711429820 is 28924117101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 405224695 + ... + 405224945.

It is an arithmetic number, because the mean of its divisors is an integer number (486800496).

Almost surely, 2^101711429820 is an apocalyptic number.

101711429820 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 101711429820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210297814272).

101711429820 is an abundant number, since it is smaller than the sum of its proper divisors (318884198724).

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

101711429820 is a wasteful number, since it uses less digits than its factorization.

101711429820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 101711429820 in words is "one hundred one billion, seven hundred eleven million, four hundred twenty-nine thousand, eight hundred twenty".