10101101010000 has 1600 divisors, whose sum is σ = 44969184454656. Its totient is φ = 1884902400000.

The previous prime is 10101101009969. The next prime is 10101101010017. The reversal of 10101101010000 is 1010110101.

It is a super-2 number, since 2×10101101010000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1111105455 + ... + 1111114545.

Almost surely, 2^{10101101010000} is an apocalyptic number.

10101101010000 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 10101101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22484592227328).

10101101010000 is an abundant number, since it is smaller than the sum of its proper divisors (34868083444656).

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

10101101010000 is a wasteful number, since it uses less digits than its factorization.

10101101010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10101101010000 its reverse (1010110101), we get a palindrome (10102111120101).

10101101010000 divided by its reverse (1010110101) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 10101 and 101010000, that multiplied together give a square (1020302010000 = 1010100²).

The spelling of 10101101010000 in words is "ten trillion, one hundred one billion, one hundred one million, ten thousand".