101002020000 has 480 divisors, whose sum is σ = 382545846144. Its totient is φ = 22848000000.

The previous prime is 101002019999. The next prime is 101002020001. The reversal of 101002020000 is 20200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101002019999) and next prime (101002020001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (101002020001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42418810 + ... + 42421190.

Almost surely, 2^101002020000 is an apocalyptic number.

101002020000 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 101002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191272923072).

101002020000 is an abundant number, since it is smaller than the sum of its proper divisors (281543826144).

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

101002020000 is a wasteful number, since it uses less digits than its factorization.

101002020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 101002020000 its reverse (20200101), we get a palindrome (101022220101).

The spelling of 101002020000 in words is "one hundred one billion, two million, twenty thousand".