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2121012112021 = 1161101107292493
BaseRepresentation
bin11110110111010110001…
…011000110101010010101
321111202200222111002010221
4132313112023012222111
5234222313100041041
64302213550314341
7306144441325255
oct36672613065225
97452628432127
102121012112021
11748575051720
122a30967b89b1
1312501a33989a
147492c3b7965
153a28bc582d1
hex1edd62c6a95

2121012112021 has 32 divisors (see below), whose sum is σ = 2397252744576. Its totient is φ = 1860249120000.

The previous prime is 2121012112007. The next prime is 2121012112033. The reversal of 2121012112021 is 1202112101212.

It is a cyclic number.

It is not a de Polignac number, because 2121012112021 - 227 = 2120877894293 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121012111986 and 2121012112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121012112421) 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 31 ways as a sum of consecutive naturals, for example, 7105251 + ... + 7397743.

It is an arithmetic number, because the mean of its divisors is an integer number (74914148268).

Almost surely, 22121012112021 is an apocalyptic number.

It is an amenable number.

2121012112021 is a deficient number, since it is larger than the sum of its proper divisors (276240632555).

2121012112021 is a wasteful number, since it uses less digits than its factorization.

2121012112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292773.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2121012112021 its reverse (1202112101212), we get a palindrome (3323124213233).

The spelling of 2121012112021 in words is "two trillion, one hundred twenty-one billion, twelve million, one hundred twelve thousand, twenty-one".

Divisors: 1 11 61 101 107 671 1111 1177 6161 6527 10807 67771 71797 118877 292493 659227 3217423 7251497 17842073 29541793 31296751 196262803 324959723 344264261 1802049373 1909101811 3160971851 19822543103 21000119921 34770690361 192819282911 2121012112021