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1020220102101 = 33747677339983
BaseRepresentation
bin11101101100010011101…
…10110101010111010101
310121112100220010001001110
432312021312311113111
5113203402321231401
62100403241245233
7133465001533014
oct16661166652725
93545326101043
101020220102101
11363744717982
12145885793819
137528b4484b5
1437543a64a7b
151b8119ac9d6
hexed89db55d5

1020220102101 has 64 divisors (see below), whose sum is σ = 1467951464448. Its totient is φ = 629261664768.

The previous prime is 1020220102061. The next prime is 1020220102103. The reversal of 1020220102101 is 1012010220201.

It is not a de Polignac number, because 1020220102101 - 26 = 1020220102037 is a prime.

It is a super-2 number, since 2×10202201021012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020220102103) 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, 25496356 + ... + 25536338.

It is an arithmetic number, because the mean of its divisors is an integer number (22936741632).

Almost surely, 21020220102101 is an apocalyptic number.

It is an amenable number.

1020220102101 is a deficient number, since it is larger than the sum of its proper divisors (447731362347).

1020220102101 is a wasteful number, since it uses less digits than its factorization.

1020220102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40210.

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

Adding to 1020220102101 its reverse (1012010220201), we get a palindrome (2032230322302).

The spelling of 1020220102101 in words is "one trillion, twenty billion, two hundred twenty million, one hundred two thousand, one hundred one".

Divisors: 1 3 37 47 67 73 111 141 201 219 1739 2479 2701 3149 3431 4891 5217 7437 8103 9447 10293 14673 39983 116513 119949 126947 180967 229877 349539 380841 542901 689631 1479371 1879201 2678861 2918759 4438113 5637603 8036583 8505449 8756277 25516347 69530437 99117857 107994083 125906467 137181673 195556853 208591311 297353571 323982249 377719401 411545019 586670559 4658539279 5075721901 7235603561 9191172091 13975617837 15227165703 21706810683 27573516273 340073367367 1020220102101