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10122100200020 = 2252609193984289
BaseRepresentation
bin1001001101001011110000…
…1011111101001001010100
31022211122220120022002010202
42103102330023331021110
52311320030122400040
633310010104040032
72063204036045654
oct223227413751124
938748816262122
1010122100200020
113252838753536
121175892a63018
135856824a07a3
1426dcab374364
151284744a0015
hex934bc2fd254

10122100200020 has 24 divisors (see below), whose sum is σ = 21264557869800. Its totient is φ = 4047288184832.

The previous prime is 10122100199971. The next prime is 10122100200031. The reversal of 10122100200020 is 2000200122101.

It is a happy number.

10122100200020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2173749204496 + 7948350995524 = 1474364^2 + 2819282^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10122100199974 and 10122100200010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96939965 + ... + 97044324.

It is an arithmetic number, because the mean of its divisors is an integer number (886023244575).

Almost surely, 210122100200020 is an apocalyptic number.

10122100200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122100200020 is an abundant number, since it is smaller than the sum of its proper divisors (11142457669780).

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

10122100200020 is a wasteful number, since it uses less digits than its factorization.

10122100200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193986907 (or 193986905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10122100200020 its reverse (2000200122101), we get a palindrome (12122300322121).

The spelling of 10122100200020 in words is "ten trillion, one hundred twenty-two billion, one hundred million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 2609 5218 10436 13045 26090 52180 193984289 387968578 775937156 969921445 1939842890 3879685780 506105010001 1012210020002 2024420040004 2530525050005 5061050100010 10122100200020