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100101021020 = 2257211131933701
BaseRepresentation
bin101110100111001111…
…1000101110101011100
3100120101012201202000222
41131032133011311130
53120001330133040
6113552532140512
710142411432300
oct1351637056534
9316335652028
10100101021020
11394a8464750
1217497767738
13959371cbb0
144bb8639d00
15290d041bb5
hex174e7c5d5c

100101021020 has 288 divisors, whose sum is σ = 288849468096. Its totient is φ = 28643328000.

The previous prime is 100101020927. The next prime is 100101021049. The reversal of 100101021020 is 20120101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101020989 and 100101021007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27045170 + ... + 27048870.

It is an arithmetic number, because the mean of its divisors is an integer number (1002949542).

Almost surely, 2100101021020 is an apocalyptic number.

100101021020 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 100101021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144424734048).

100101021020 is an abundant number, since it is smaller than the sum of its proper divisors (188748447076).

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

100101021020 is a wasteful number, since it uses less digits than its factorization.

100101021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100101021020 its reverse (20120101001), we get a palindrome (120221122021).

The spelling of 100101021020 in words is "one hundred billion, one hundred one million, twenty-one thousand, twenty".