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2100201220000 = 25541341271727
BaseRepresentation
bin11110100011111101101…
…111110110011110100000
321102202222122010020011101
4132203331233312132200
5233402203003020000
64244452532524144
7304506641551552
oct36437557663640
97382878106141
102100201220000
1173a765922504
1229b049180654
131230819674b0
147391652d4d2
153996ec12e6a
hex1e8fdbf67a0

2100201220000 has 480 divisors, whose sum is σ = 5728872973824. Its totient is φ = 752716800000.

The previous prime is 2100201219953. The next prime is 2100201220153. The reversal of 2100201220000 is 221020012.

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 79 ways as a sum of consecutive naturals, for example, 2888859637 + ... + 2888860363.

Almost surely, 22100201220000 is an apocalyptic number.

2100201220000 is a gapful number since it is divisible by the number (20) 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 2100201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864436486912).

2100201220000 is an abundant number, since it is smaller than the sum of its proper divisors (3628671753824).

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

2100201220000 is a wasteful number, since it uses less digits than its factorization.

2100201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2100201220000 its reverse (221020012), we get a palindrome (2100422240012).

It can be divided in two parts, 21002012 and 20000, that added together give a palindrome (21022012).

The spelling of 2100201220000 in words is "two trillion, one hundred billion, two hundred one million, two hundred twenty thousand".