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10100101002120 = 23325173744603873
BaseRepresentation
bin1001001011111001110011…
…1011101011001110001000
31022202120010101221000221100
42102332130323223032020
52310440001324031440
633251531120541400
72061464630000523
oct222763473531610
938676111830840
1010100101002120
113244479785548
121171573481860
1358358786c91c
1426cbc1761bba
15127ad7e7e230
hex92f9ceeb388

10100101002120 has 192 divisors, whose sum is σ = 35695588284720. Its totient is φ = 2466415706112.

The previous prime is 10100101002107. The next prime is 10100101002181. The reversal of 10100101002120 is 2120010100101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8550957336804 + 1549143665316 = 2924202^2 + 1244646^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22075497 + ... + 22528376.

Almost surely, 210100101002120 is an apocalyptic number.

10100101002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100101002120 is an abundant number, since it is smaller than the sum of its proper divisors (25595487282600).

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

10100101002120 is a wasteful number, since it uses less digits than its factorization.

10100101002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44603944 (or 44603937 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100101002120 its reverse (2120010100101), we get a palindrome (12220111102221).

The spelling of 10100101002120 in words is "ten trillion, one hundred billion, one hundred one million, two thousand, one hundred twenty".