101111010101010 has 384 divisors, whose sum is σ = 351847043218944. Its totient is φ = 19535750553600.

The previous prime is 101111010100987. The next prime is 101111010101053. The reversal of 101111010101010 is 10101010111101.

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

101111010101010 is a modest number, since divided by 10101010 gives 1011110 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101111010100983 and 101111010101001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4662216 + ... + 14965235.

It is an arithmetic number, because the mean of its divisors is an integer number (916268341716).

Almost surely, 2^{101111010101010} is an apocalyptic number.

101111010101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111010101010 is an abundant number, since it is smaller than the sum of its proper divisors (250736033117934).

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

101111010101010 is a wasteful number, since it uses less digits than its factorization.

101111010101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19627538 (or 19627535 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111010101010 its reverse (10101010111101), we get a palindrome (111212020212111).

The spelling of 101111010101010 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred one thousand, ten".