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101100221011020 = 22357113832178947
BaseRepresentation
bin10110111111001100111010…
…110000101001010001001100
3111020222002100020020211010210
4112333030322300221101030
5101222411223034323040
6555004444513202420
730203151503343630
oct2677147260512114
9436862306224123
10101100221011020
112a2393aa0a1000
12b409a97560410
13445492c953b6a
141ad73c37aadc0
15ba4cae87a480
hex5bf33ac2944c

101100221011020 has 384 divisors, whose sum is σ = 360135967629312. Its totient is φ = 20754722123520.

The previous prime is 101100221011019. The next prime is 101100221011033. The reversal of 101100221011020 is 20110122001101.

It is a super-2 number, since 2×1011002210110202 (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 junction number, because it is equal to n+sod(n) for n = 101100221010987 and 101100221011005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45309187 + ... + 47488133.

It is an arithmetic number, because the mean of its divisors is an integer number (937854082368).

Almost surely, 2101100221011020 is an apocalyptic number.

101100221011020 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 101100221011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180067983814656).

101100221011020 is an abundant number, since it is smaller than the sum of its proper divisors (259035746618292).

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

101100221011020 is a wasteful number, since it uses less digits than its factorization.

101100221011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179082 (or 2179058 counting only the distinct ones).

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

Adding to 101100221011020 its reverse (20110122001101), we get a palindrome (121210343012121).

It can be divided in two parts, 1011002 and 21011020, that added together give a palindrome (22022022).

The spelling of 101100221011020 in words is "one hundred one trillion, one hundred billion, two hundred twenty-one million, eleven thousand, twenty".