101020000 has 60 divisors (see below), whose sum is σ = 248573556. Its totient is φ = 40400000.

The previous prime is 101019959. The next prime is 101020009. The reversal of 101020000 is 20101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17475 + ... + 22525.

Almost surely, 2^101020000 is an apocalyptic number.

101020000 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 101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124286778).

101020000 is an abundant number, since it is smaller than the sum of its proper divisors (147553556).

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

101020000 is an frugal number, since it uses more digits than its factorization.

101020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 101020000 is about 10050.8706090567. The cubic root of 101020000 is about 465.7316880883.

Adding to 101020000 its reverse (20101), we get a palindrome (101040101).

The spelling of 101020000 in words is "one hundred one million, twenty thousand".