102021000 has 128 divisors (see below), whose sum is σ = 328872960. Its totient is φ = 26304000.

The previous prime is 102020993. The next prime is 102021001. The reversal of 102021000 is 120201.

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 102021000.

It is not an unprimeable number, because it can be changed into a prime (102021001) 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, 92452 + ... + 93548.

It is an arithmetic number, because the mean of its divisors is an integer number (2569320).

Almost surely, 2^102021000 is an apocalyptic number.

102021000 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 102021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164436480).

102021000 is an abundant number, since it is smaller than the sum of its proper divisors (226851960).

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

102021000 is a wasteful number, since it uses less digits than its factorization.

102021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1138 counting only the distinct ones).

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

The square root of 102021000 is about 10100.5445397761. The cubic root of 102021000 is about 467.2649356363.

Adding to 102021000 its reverse (120201), we get a palindrome (102141201).

The spelling of 102021000 in words is "one hundred two million, twenty-one thousand".