20101002000 has 160 divisors (see below), whose sum is σ = 67040887680. Its totient is φ = 5175385600.

The previous prime is 20101001983. The next prime is 20101002023. The reversal of 20101002000 is 20010102.

It is a happy number.

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 a self number, because there is not a number n which added to its sum of digits gives 20101002000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116239 + ... + 231761.

It is an arithmetic number, because the mean of its divisors is an integer number (419005548).

Almost surely, 2^20101002000 is an apocalyptic number.

20101002000 is a gapful number since it is divisible by the number (20) 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 20101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33520443840).

20101002000 is an abundant number, since it is smaller than the sum of its proper divisors (46939885680).

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

20101002000 is a wasteful number, since it uses less digits than its factorization.

20101002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115578 (or 115562 counting only the distinct ones).

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

Adding to 20101002000 its reverse (20010102), we get a palindrome (20121012102).

The spelling of 20101002000 in words is "twenty billion, one hundred one million, two thousand".