101024000420 has 96 divisors (see below), whose sum is σ = 256911782400. Its totient is φ = 32574965760.

The previous prime is 101024000417. The next prime is 101024000423. The reversal of 101024000420 is 24000420101.

It is an interprime number because it is at equal distance from previous prime (101024000417) and next prime (101024000423).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101024000395 and 101024000404.

It is not an unprimeable number, because it can be changed into a prime (101024000423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3314450 + ... + 3344790.

It is an arithmetic number, because the mean of its divisors is an integer number (2676164400).

Almost surely, 2^101024000420 is an apocalyptic number.

101024000420 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 101024000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128455891200).

101024000420 is an abundant number, since it is smaller than the sum of its proper divisors (155887781980).

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

101024000420 is a wasteful number, since it uses less digits than its factorization.

101024000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31773 (or 31771 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 101024000420 its reverse (24000420101), we get a palindrome (125024420521).

The spelling of 101024000420 in words is "one hundred one billion, twenty-four million, four hundred twenty", and thus it is an aban number.