101020010222010 has 128 divisors (see below), whose sum is σ = 267178806436608. Its totient is φ = 24240750080000.

The previous prime is 101020010222009. The next prime is 101020010222011. The reversal of 101020010222010 is 10222010020101.

101020010222010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101020010222009) and next prime (101020010222011).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101020010222011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124951192 + ... + 125757068.

It is an arithmetic number, because the mean of its divisors is an integer number (2087334425286).

Almost surely, 2^{101020010222010} is an apocalyptic number.

101020010222010 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 101020010222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133589403218304).

101020010222010 is an abundant number, since it is smaller than the sum of its proper divisors (166158796214598).

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

101020010222010 is a wasteful number, since it uses less digits than its factorization.

101020010222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809760.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020010222010 its reverse (10222010020101), we get a palindrome (111242020242111).

The spelling of 101020010222010 in words is "one hundred one trillion, twenty billion, ten million, two hundred twenty-two thousand, ten".