101402101200 has 240 divisors, whose sum is σ = 335686925376. Its totient is φ = 26148864000.

The previous prime is 101402101189. The next prime is 101402101201. The reversal of 101402101200 is 2101204101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×101402101200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101402101201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5201872 + ... + 5221328.

Almost surely, 2^101402101200 is an apocalyptic number.

101402101200 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 101402101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167843462688).

101402101200 is an abundant number, since it is smaller than the sum of its proper divisors (234284824176).

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

101402101200 is a wasteful number, since it uses less digits than its factorization.

101402101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19622 (or 19611 counting only the distinct ones).

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

Adding to 101402101200 its reverse (2101204101), we get a palindrome (103503305301).

The spelling of 101402101200 in words is "one hundred one billion, four hundred two million, one hundred one thousand, two hundred".