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101021100021 = 338345078581
BaseRepresentation
bin101111000010101010…
…0111010011111110101
3100122202100000121011000
41132011110322133311
53123342400200041
6114224120433513
710204253116332
oct1360524723765
9318670017130
10101021100021
113992a860716
12176b3918899
1396ac22693a
144c64901989
152963bd7bb6
hex178553a7f5

101021100021 has 16 divisors (see below), whose sum is σ = 151464035520. Its totient is φ = 66535984080.

The previous prime is 101021100013. The next prime is 101021100079. The reversal of 101021100021 is 120001120101.

It is a happy number.

It is not a de Polignac number, because 101021100021 - 23 = 101021100013 is a prime.

It is a super-3 number, since 3×1010211000213 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101021099976 and 101021100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021100821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22537050 + ... + 22541531.

It is an arithmetic number, because the mean of its divisors is an integer number (9466502220).

Almost surely, 2101021100021 is an apocalyptic number.

It is an amenable number.

101021100021 is a deficient number, since it is larger than the sum of its proper divisors (50442935499).

101021100021 is an equidigital number, since it uses as much as digits as its factorization.

101021100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45078673 (or 45078667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101021100021 its reverse (120001120101), we get a palindrome (221022220122).

The spelling of 101021100021 in words is "one hundred one billion, twenty-one million, one hundred thousand, twenty-one".

Divisors: 1 3 9 27 83 249 747 2241 45078581 135235743 405707229 1217121687 3741522223 11224566669 33673700007 101021100021