101020011011010 has 384 divisors, whose sum is σ = 340306064017920. Its totient is φ = 20190647513088.

The previous prime is 101020011010999. The next prime is 101020011011053. The reversal of 101020011011010 is 10110110020101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101020011010983 and 101020011011001.

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, 2865229302 + ... + 2865264558.

It is an arithmetic number, because the mean of its divisors is an integer number (886213708380).

Almost surely, 2^{101020011011010} is an apocalyptic number.

101020011011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020011011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170153032008960).

101020011011010 is an abundant number, since it is smaller than the sum of its proper divisors (239286053006910).

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

101020011011010 is a wasteful number, since it uses less digits than its factorization.

101020011011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53722 (or 53719 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101020011011010 its reverse (10110110020101), we get a palindrome (111130121031111).

Subtracting from 101020011011010 its reverse (10110110020101), we obtain a palindrome (90909900990909).

The spelling of 101020011011010 in words is "one hundred one trillion, twenty billion, eleven million, eleven thousand, ten".