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102202001111100 = 22352111723101811967
BaseRepresentation
bin10111001111001111000001…
…111110001011100000111100
3111101212102020011220001010010
4113033033001332023200330
5101343434144241023400
61001210541240343220
730345564601564422
oct2717170176134074
9441772204801103
10102202001111100
112a623697254590
12b567523474b10
1345047b8472497
141b3486344b112
15bc3796753450
hex5cf3c1f8b83c

102202001111100 has 1152 divisors, whose sum is σ = 360758253993984. Its totient is φ = 22034073600000.

The previous prime is 102202001111099. The next prime is 102202001111101. The reversal of 102202001111100 is 1111100202201.

It is an interprime number because it is at equal distance from previous prime (102202001111099) and next prime (102202001111101).

It is a super-2 number, since 2×1022020011111002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202001111101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 105689762817 + ... + 105689763783.

It is an arithmetic number, because the mean of its divisors is an integer number (313158206592).

Almost surely, 2102202001111100 is an apocalyptic number.

102202001111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202001111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180379126996992).

102202001111100 is an abundant number, since it is smaller than the sum of its proper divisors (258556252882884).

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

102202001111100 is a wasteful number, since it uses less digits than its factorization.

102202001111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1940 counting only the distinct ones).

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

Adding to 102202001111100 its reverse (1111100202201), we get a palindrome (103313101313301).

The spelling of 102202001111100 in words is "one hundred two trillion, two hundred two billion, one million, one hundred eleven thousand, one hundred".