101002300032 has 128 divisors (see below), whose sum is σ = 284909256000. Its totient is φ = 31612944384.

The previous prime is 101002299997. The next prime is 101002300099. The reversal of 101002300032 is 230003200101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101002300032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101002299990 and 101002300017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763194 + ... + 885702.

Almost surely, 2^101002300032 is an apocalyptic number.

101002300032 is a gapful number since it is divisible by the number (12) 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 101002300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142454628000).

101002300032 is an abundant number, since it is smaller than the sum of its proper divisors (183906955968).

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

101002300032 is a wasteful number, since it uses less digits than its factorization.

101002300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122658 (or 122646 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 101002300032 its reverse (230003200101), we get a palindrome (331005500133).

It can be divided in two parts, 10100 and 2300032, that added together give a palindrome (2310132).

The spelling of 101002300032 in words is "one hundred one billion, two million, three hundred thousand, thirty-two".