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101200211002011 = 311151157129357281
BaseRepresentation
bin10111000000101010000010…
…101000001100001010011011
3111021022122102201001122121110
4113000222002220030022123
5101231031013004031021
6555122422441511403
730213321366264432
oct2700520250141233
9437278381048543
10101200211002011
112a27784a9101a0
12b425341aa2563
1344611a636a8c4
141adc18b384119
15ba76b2c89476
hex5c0a82a0c29b

101200211002011 has 32 divisors (see below), whose sum is σ = 149118935256576. Its totient is φ = 60539207040000.

The previous prime is 101200211002003. The next prime is 101200211002027. The reversal of 101200211002011 is 110200112002101.

It is not a de Polignac number, because 101200211002011 - 23 = 101200211002003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101200211002061) 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, 63896310 + ... + 65460971.

It is an arithmetic number, because the mean of its divisors is an integer number (4659966726768).

Almost surely, 2101200211002011 is an apocalyptic number.

101200211002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101200211002011 is a deficient number, since it is larger than the sum of its proper divisors (47918724254565).

101200211002011 is a wasteful number, since it uses less digits than its factorization.

101200211002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129357603.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101200211002011 its reverse (110200112002101), we get a palindrome (211400323004112).

The spelling of 101200211002011 in words is "one hundred one trillion, two hundred billion, two hundred eleven million, two thousand, eleven".

Divisors: 1 3 11 33 151 157 453 471 1661 1727 4983 5181 23707 71121 260777 782331 129357281 388071843 1422930091 4268790273 19532949431 20309093117 58598848293 60927279351 214862443741 223400024287 644587331223 670200072861 3066673060667 9200019182001 33733403667337 101200211002011