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10102111200100 = 225217415327110091
BaseRepresentation
bin1001001100000001010010…
…1111111110001101100100
31022202202022111110200011101
42103000110233332031210
52311003110431400400
633252502410245444
72061565506255163
oct223002457761544
938682274420141
1010102111200100
113245310457a97
121171a34726884
1358381817799a
1426cd327133da
15127ba46a856a
hex93014bfe364

10102111200100 has 288 divisors, whose sum is σ = 24317640571392. Its totient is φ = 3626588160000.

The previous prime is 10102111200089. The next prime is 10102111200119. The reversal of 10102111200100 is 100211120101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1001096055 + ... + 1001106145.

It is an arithmetic number, because the mean of its divisors is an integer number (84436251984).

Almost surely, 210102111200100 is an apocalyptic number.

10102111200100 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 10102111200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12158820285696).

10102111200100 is an abundant number, since it is smaller than the sum of its proper divisors (14215529371292).

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

10102111200100 is a wasteful number, since it uses less digits than its factorization.

10102111200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10102111200100 its reverse (100211120101), we get a palindrome (10202322320201).

The spelling of 10102111200100 in words is "ten trillion, one hundred two billion, one hundred eleven million, two hundred thousand, one hundred".