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10021200102221 = 7117091297914143
BaseRepresentation
bin1001000111010011111000…
…0100101000001101001101
31022111000110122222000211112
42101310332010220031031
52303141404211232341
633151401544501405
72053002452263430
oct221647604501515
938430418860745
1010021200102221
113213a70229660
12115a21377a865
13578cc2361cc9
1426905896d817
15125a1b219aeb
hex91d3e12834d

10021200102221 has 32 divisors (see below), whose sum is σ = 12513434419200. Its totient is φ = 7796561532480.

The previous prime is 10021200102209. The next prime is 10021200102281. The reversal of 10021200102221 is 12220100212001.

It is a de Polignac number, because none of the positive numbers 2k-10021200102221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021200102196 and 10021200102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021200102281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708555476 + ... + 708569618.

It is an arithmetic number, because the mean of its divisors is an integer number (391044825600).

Almost surely, 210021200102221 is an apocalyptic number.

10021200102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021200102221 is a deficient number, since it is larger than the sum of its proper divisors (2492234316979).

10021200102221 is a wasteful number, since it uses less digits than its factorization.

10021200102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27849.

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

Adding to 10021200102221 its reverse (12220100212001), we get a palindrome (22241300314222).

The spelling of 10021200102221 in words is "ten trillion, twenty-one billion, two hundred million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 7 11 77 709 4963 7799 12979 14143 54593 90853 99001 142769 155573 999383 1089011 9202111 10027387 64414777 70191709 101223221 110301257 183561997 708562547 772108799 1284933979 2019181967 14134273769 130145455873 911018191111 1431600014603 10021200102221