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1010022202121 = 177313738315511
BaseRepresentation
bin11101011001010100000…
…00111011101100001001
310120120001011222001012012
432230222000323230021
5113022011140431441
62051555305025305
7132654202031132
oct16545200735411
93516034861165
101010022202121
1135a391224769
121438ba485235
137432475a85a
1436c57508c89
151b41655c9eb
hexeb2a03bb09

1010022202121 has 32 divisors (see below), whose sum is σ = 1094919856128. Its totient is φ = 928253399040.

The previous prime is 1010022202109. The next prime is 1010022202127. The reversal of 1010022202121 is 1212022200101.

It is not a de Polignac number, because 1010022202121 - 230 = 1008948460297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010022202096 and 1010022202105.

It is not an unprimeable number, because it can be changed into a prime (1010022202127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65108756 + ... + 65124266.

It is an arithmetic number, because the mean of its divisors is an integer number (34216245504).

Almost surely, 21010022202121 is an apocalyptic number.

It is an amenable number.

1010022202121 is a deficient number, since it is larger than the sum of its proper divisors (84897654007).

1010022202121 is a wasteful number, since it uses less digits than its factorization.

1010022202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16121.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1010022202121 its reverse (1212022200101), we get a palindrome (2222044402222).

The spelling of 1010022202121 in words is "one trillion, ten billion, twenty-two million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 17 73 137 383 1241 2329 6511 10001 15511 27959 52471 170017 263687 475303 892007 1132303 2125007 3830383 5940713 19249151 36125119 65116511 100992121 155125511 433672049 813877681 2637133687 7372424833 13835920577 59413070713 1010022202121