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1221111100100 = 2252120971009433
BaseRepresentation
bin10001110001001111111…
…001001011001011000100
311022201220022222010000202
4101301033321023023010
5130001313420200400
62332545400430032
7154136162043563
oct21611771131304
94281808863022
101221111100100
11430963422061
121787ab778318
138b1c522b808
14431601dbbda
1521b6d2814d5
hex11c4fe4b2c4

1221111100100 has 36 divisors (see below), whose sum is σ = 2650032759444. Its totient is φ = 488403578880.

The previous prime is 1221111100093. The next prime is 1221111100117. The reversal of 1221111100100 is 10011111221.

It can be written as a sum of positive squares in 6 ways, for example, as 570662398084 + 650448702016 = 755422^2 + 806504^2 .

It is a super-2 number, since 2×12211111001002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 704984 + ... + 1714416.

Almost surely, 21221111100100 is an apocalyptic number.

1221111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221111100100 is an abundant number, since it is smaller than the sum of its proper divisors (1428921659344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1221111100100 is a wasteful number, since it uses less digits than its factorization.

1221111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021544 (or 1021537 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1221111100100 its reverse (10011111221), we get a palindrome (1231122211321).

The spelling of 1221111100100 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12097 24194 48388 60485 120970 241940 302425 604850 1009433 1209700 2018866 4037732 5047165 10094330 20188660 25235825 50471650 100943300 12211111001 24422222002 48844444004 61055555005 122111110010 244222220020 305277775025 610555550050 1221111100100