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1022120002101 = 311314359938791
BaseRepresentation
bin11101101111110110001…
…10011000001000110101
310121201021022002221220010
432313323012120020311
5113221300210031401
62101315550530433
7133563041445042
oct16677306301065
93551238087803
101022120002101
1136452a104970
12146115b06a19
1375501c45693
14376841041c9
151b8c369aed6
hexedfb198235

1022120002101 has 64 divisors (see below), whose sum is σ = 1573031116800. Its totient is φ = 584549784000.

The previous prime is 1022120002097. The next prime is 1022120002133. The reversal of 1022120002101 is 1012000212201.

It is not a de Polignac number, because 1022120002101 - 22 = 1022120002097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022120002171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26330016 + ... + 26368806.

It is an arithmetic number, because the mean of its divisors is an integer number (24578611200).

Almost surely, 21022120002101 is an apocalyptic number.

1022120002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022120002101 is a deficient number, since it is larger than the sum of its proper divisors (550911114699).

1022120002101 is a wasteful number, since it uses less digits than its factorization.

1022120002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39478.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022120002101 its reverse (1012000212201), we get a palindrome (2034120214302).

The spelling of 1022120002101 in words is "one trillion, twenty-two billion, one hundred twenty million, two thousand, one hundred one".

Divisors: 1 3 11 31 33 43 93 129 341 473 599 1023 1333 1419 1797 3999 6589 14663 18569 19767 25757 38791 43989 55707 77271 116373 204259 283327 426701 612777 798467 849981 1202521 1280103 1668013 2395401 3607563 5004039 8783137 13227731 18348143 23235809 26349411 39683193 51708403 55044429 69707427 155125209 255593899 568792433 720310079 766781697 999139787 1706377299 2160930237 2997419361 7923410869 10990537657 23770232607 30973333397 32971612971 92920000191 340706667367 1022120002101