Search a number
-
+
10100101221021 = 372916584731069
BaseRepresentation
bin1001001011111001110011…
…1100100000101010011101
31022202120010102100011012210
42102332130330200222131
52310440001403033041
633251531125351033
72061464631601650
oct222763474405235
938676112304183
1010100101221021
113244479914a59
121171573568479
13583587918456
1426cbc17bb897
15127ad7ec4016
hex92f9cf20a9d

10100101221021 has 16 divisors (see below), whose sum is σ = 15921341827200. Its totient is φ = 5572469638848.

The previous prime is 10100101221019. The next prime is 10100101221043. The reversal of 10100101221021 is 12012210100101.

It is not a de Polignac number, because 10100101221021 - 21 = 10100101221019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100101220988 and 10100101221006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101221071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8292364926 + ... + 8292366143.

It is an arithmetic number, because the mean of its divisors is an integer number (995083864200).

Almost surely, 210100101221021 is an apocalyptic number.

It is an amenable number.

10100101221021 is a deficient number, since it is larger than the sum of its proper divisors (5821240606179).

10100101221021 is a wasteful number, since it uses less digits than its factorization.

10100101221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16584731108.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100101221021 its reverse (12012210100101), we get a palindrome (22112311321122).

The spelling of 10100101221021 in words is "ten trillion, one hundred billion, one hundred one million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 21 29 87 203 609 16584731069 49754193207 116093117483 348279352449 480957201001 1442871603003 3366700407007 10100101221021